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Finding the Fourth Proportional to 640.32, 882.72 and 523.68

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Solution

The fourth proportional to 640.32, 882.72 and 523.68 is: 721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.32 : 882.72 = 523.68 : x
  2. Step 2: Convert to fraction form
    640.32/882.72 = 523.68/x
  3. Step 3: Cross multiply
    640.32x = 882.72 × 523.68
  4. Step 4: Simplify right side
    640.32x = 462,262.81
  5. Step 5: Solve for x
    x = 462,262.81/640.32
  6. Step 6: Final answer
    x = 721.92

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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.