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Finding the Fourth Proportional to 553.58, 762.97 and 527.61

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Solution

The fourth proportional to 553.58, 762.97 and 527.61 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.58 : 762.97 = 527.61 : x
  2. Step 2: Convert to fraction form
    553.58/762.97 = 527.61/x
  3. Step 3: Cross multiply
    553.58x = 762.97 × 527.61
  4. Step 4: Simplify right side
    553.58x = 402,553.13
  5. Step 5: Solve for x
    x = 402,553.13/553.58
  6. Step 6: Final answer
    x = 727.18

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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.