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Finding the Fourth Proportional to 439.72, 659.76 and 432.82

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Solution

The fourth proportional to 439.72, 659.76 and 432.82 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.72 : 659.76 = 432.82 : x
  2. Step 2: Convert to fraction form
    439.72/659.76 = 432.82/x
  3. Step 3: Cross multiply
    439.72x = 659.76 × 432.82
  4. Step 4: Simplify right side
    439.72x = 285,557.32
  5. Step 5: Solve for x
    x = 285,557.32/439.72
  6. Step 6: Final answer
    x = 649.41

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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.