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Finding the Fourth Proportional to 649.72, 974.85 and 527.50

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Solution

The fourth proportional to 649.72, 974.85 and 527.50 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 974.85 = 527.50 : x
  2. Step 2: Convert to fraction form
    649.72/974.85 = 527.50/x
  3. Step 3: Cross multiply
    649.72x = 974.85 × 527.50
  4. Step 4: Simplify right side
    649.72x = 514,233.38
  5. Step 5: Solve for x
    x = 514,233.38/649.72
  6. Step 6: Final answer
    x = 791.47

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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.