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Finding the Fourth Proportional to 553.92, 762.72 and 498.88

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Solution

The fourth proportional to 553.92, 762.72 and 498.88 is: 686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 762.72 = 498.88 : x
  2. Step 2: Convert to fraction form
    553.92/762.72 = 498.88/x
  3. Step 3: Cross multiply
    553.92x = 762.72 × 498.88
  4. Step 4: Simplify right side
    553.92x = 380,505.75
  5. Step 5: Solve for x
    x = 380,505.75/553.92
  6. Step 6: Final answer
    x = 686.93

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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.