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Finding the Fourth Proportional to 497.28, 686.50 and 385.04

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Solution

The fourth proportional to 497.28, 686.50 and 385.04 is: 531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 686.50 = 385.04 : x
  2. Step 2: Convert to fraction form
    497.28/686.50 = 385.04/x
  3. Step 3: Cross multiply
    497.28x = 686.50 × 385.04
  4. Step 4: Simplify right side
    497.28x = 264,329.96
  5. Step 5: Solve for x
    x = 264,329.96/497.28
  6. Step 6: Final answer
    x = 531.55

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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.