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Finding the Fourth Proportional to 658.30, 922.90 and 658.30

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Solution

The fourth proportional to 658.30, 922.90 and 658.30 is: 922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.30 : 922.90 = 658.30 : x
  2. Step 2: Convert to fraction form
    658.30/922.90 = 658.30/x
  3. Step 3: Cross multiply
    658.30x = 922.90 × 658.30
  4. Step 4: Simplify right side
    658.30x = 607,545.07
  5. Step 5: Solve for x
    x = 607,545.07/658.30
  6. Step 6: Final answer
    x = 922.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.