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Finding the Fourth Proportional to 497.49, 686.56 and 287.70

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Solution

The fourth proportional to 497.49, 686.56 and 287.70 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.49 : 686.56 = 287.70 : x
  2. Step 2: Convert to fraction form
    497.49/686.56 = 287.70/x
  3. Step 3: Cross multiply
    497.49x = 686.56 × 287.70
  4. Step 4: Simplify right side
    497.49x = 197,523.31
  5. Step 5: Solve for x
    x = 197,523.31/497.49
  6. Step 6: Final answer
    x = 397.04

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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.