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Finding the Fourth Proportional to 497.69, 686.73 and 287.90

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Solution

The fourth proportional to 497.69, 686.73 and 287.90 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.69 : 686.73 = 287.90 : x
  2. Step 2: Convert to fraction form
    497.69/686.73 = 287.90/x
  3. Step 3: Cross multiply
    497.69x = 686.73 × 287.90
  4. Step 4: Simplify right side
    497.69x = 197,706.13
  5. Step 5: Solve for x
    x = 197,706.13/497.69
  6. Step 6: Final answer
    x = 397.25

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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.