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Finding the Fourth Proportional to 683.16, 944.02 and 517.10

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Solution

The fourth proportional to 683.16, 944.02 and 517.10 is: 714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 944.02 = 517.10 : x
  2. Step 2: Convert to fraction form
    683.16/944.02 = 517.10/x
  3. Step 3: Cross multiply
    683.16x = 944.02 × 517.10
  4. Step 4: Simplify right side
    683.16x = 488,152.74
  5. Step 5: Solve for x
    x = 488,152.74/683.16
  6. Step 6: Final answer
    x = 714.55

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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.