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Finding the Fourth Proportional to 658.04, 985.68 and 397.22

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Solution

The fourth proportional to 658.04, 985.68 and 397.22 is: 595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.04 : 985.68 = 397.22 : x
  2. Step 2: Convert to fraction form
    658.04/985.68 = 397.22/x
  3. Step 3: Cross multiply
    658.04x = 985.68 × 397.22
  4. Step 4: Simplify right side
    658.04x = 391,531.81
  5. Step 5: Solve for x
    x = 391,531.81/658.04
  6. Step 6: Final answer
    x = 595.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.