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Finding the Fourth Proportional to 649.20, 894.57 and 532.56

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Solution

The fourth proportional to 649.20, 894.57 and 532.56 is: 733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 894.57 = 532.56 : x
  2. Step 2: Convert to fraction form
    649.20/894.57 = 532.56/x
  3. Step 3: Cross multiply
    649.20x = 894.57 × 532.56
  4. Step 4: Simplify right side
    649.20x = 476,412.20
  5. Step 5: Solve for x
    x = 476,412.20/649.20
  6. Step 6: Final answer
    x = 733.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.