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Finding the Fourth Proportional to 613.38, 846.06 and 465.68

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Solution

The fourth proportional to 613.38, 846.06 and 465.68 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 846.06 = 465.68 : x
  2. Step 2: Convert to fraction form
    613.38/846.06 = 465.68/x
  3. Step 3: Cross multiply
    613.38x = 846.06 × 465.68
  4. Step 4: Simplify right side
    613.38x = 393,993.22
  5. Step 5: Solve for x
    x = 393,993.22/613.38
  6. Step 6: Final answer
    x = 642.33

Related Problems

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Double scale
Find fourth proportional to 614.38, 847.44 and 466.68
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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.