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Finding the Fourth Proportional to 477.67, 658.16 and 322.15

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Solution

The fourth proportional to 477.67, 658.16 and 322.15 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.67 : 658.16 = 322.15 : x
  2. Step 2: Convert to fraction form
    477.67/658.16 = 322.15/x
  3. Step 3: Cross multiply
    477.67x = 658.16 × 322.15
  4. Step 4: Simplify right side
    477.67x = 212,026.24
  5. Step 5: Solve for x
    x = 212,026.24/477.67
  6. Step 6: Final answer
    x = 443.88

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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.