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Finding the Fourth Proportional to 641.28, 964.08 and 498.72

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Solution

The fourth proportional to 641.28, 964.08 and 498.72 is: 749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.28 : 964.08 = 498.72 : x
  2. Step 2: Convert to fraction form
    641.28/964.08 = 498.72/x
  3. Step 3: Cross multiply
    641.28x = 964.08 × 498.72
  4. Step 4: Simplify right side
    641.28x = 480,805.98
  5. Step 5: Solve for x
    x = 480,805.98/641.28
  6. Step 6: Final answer
    x = 749.76

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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.