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Finding the Fourth Proportional to 497.17, 686.00 and 284.45

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Solution

The fourth proportional to 497.17, 686.00 and 284.45 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.17 : 686.00 = 284.45 : x
  2. Step 2: Convert to fraction form
    497.17/686.00 = 284.45/x
  3. Step 3: Cross multiply
    497.17x = 686.00 × 284.45
  4. Step 4: Simplify right side
    497.17x = 195,131.28
  5. Step 5: Solve for x
    x = 195,131.28/497.17
  6. Step 6: Final answer
    x = 392.49

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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.