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Finding the Fourth Proportional to 649.22, 972.41 and 527.72

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Solution

The fourth proportional to 649.22, 972.41 and 527.72 is: 790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 972.41 = 527.72 : x
  2. Step 2: Convert to fraction form
    649.22/972.41 = 527.72/x
  3. Step 3: Cross multiply
    649.22x = 972.41 × 527.72
  4. Step 4: Simplify right side
    649.22x = 513,152.70
  5. Step 5: Solve for x
    x = 513,152.70/649.22
  6. Step 6: Final answer
    x = 790.42

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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.