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Finding the Fourth Proportional to 1,645.87, 2,270.08 and 1,148.63

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Solution

The fourth proportional to 1,645.87, 2,270.08 and 1,148.63 is: 1,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.87 : 2,270.08 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    1,645.87/2,270.08 = 1,148.63/x
  3. Step 3: Cross multiply
    1,645.87x = 2,270.08 × 1,148.63
  4. Step 4: Simplify right side
    1,645.87x = 2,607,478.38
  5. Step 5: Solve for x
    x = 2,607,478.38/1,645.87
  6. Step 6: Final answer
    x = 1,584.26

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Half scale
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Double scale
Find fourth proportional to 1,646.87, 2,271.45 and 1,149.63
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.