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Finding the Fourth Proportional to 497.43, 686.95 and 322.88

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Solution

The fourth proportional to 497.43, 686.95 and 322.88 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.43 : 686.95 = 322.88 : x
  2. Step 2: Convert to fraction form
    497.43/686.95 = 322.88/x
  3. Step 3: Cross multiply
    497.43x = 686.95 × 322.88
  4. Step 4: Simplify right side
    497.43x = 221,798.17
  5. Step 5: Solve for x
    x = 221,798.17/497.43
  6. Step 6: Final answer
    x = 445.89

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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.