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Finding the Fourth Proportional to 2,000.35, 3,000.42 and 613.69

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Solution

The fourth proportional to 2,000.35, 3,000.42 and 613.69 is: 920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.35 : 3,000.42 = 613.69 : x
  2. Step 2: Convert to fraction form
    2,000.35/3,000.42 = 613.69/x
  3. Step 3: Cross multiply
    2,000.35x = 3,000.42 × 613.69
  4. Step 4: Simplify right side
    2,000.35x = 1,841,309.68
  5. Step 5: Solve for x
    x = 1,841,309.68/2,000.35
  6. Step 6: Final answer
    x = 920.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,001.35, 3,001.91 and 614.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.