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Finding the Fourth Proportional to 497.25, 686.23 and 322.90

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Solution

The fourth proportional to 497.25, 686.23 and 322.90 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 686.23 = 322.90 : x
  2. Step 2: Convert to fraction form
    497.25/686.23 = 322.90/x
  3. Step 3: Cross multiply
    497.25x = 686.23 × 322.90
  4. Step 4: Simplify right side
    497.25x = 221,581.14
  5. Step 5: Solve for x
    x = 221,581.14/497.25
  6. Step 6: Final answer
    x = 445.61

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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.