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Finding the Fourth Proportional to 683.74, 1,029.56 and 502.40

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Solution

The fourth proportional to 683.74, 1,029.56 and 502.40 is: 756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.74 : 1,029.56 = 502.40 : x
  2. Step 2: Convert to fraction form
    683.74/1,029.56 = 502.40/x
  3. Step 3: Cross multiply
    683.74x = 1,029.56 × 502.40
  4. Step 4: Simplify right side
    683.74x = 517,253.83
  5. Step 5: Solve for x
    x = 517,253.83/683.74
  6. Step 6: Final answer
    x = 756.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.