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Finding the Fourth Proportional to 658.12, 985.56 and 527.20

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Solution

The fourth proportional to 658.12, 985.56 and 527.20 is: 789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.12 : 985.56 = 527.20 : x
  2. Step 2: Convert to fraction form
    658.12/985.56 = 527.20/x
  3. Step 3: Cross multiply
    658.12x = 985.56 × 527.20
  4. Step 4: Simplify right side
    658.12x = 519,587.23
  5. Step 5: Solve for x
    x = 519,587.23/658.12
  6. Step 6: Final answer
    x = 789.50

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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.