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Finding the Fourth Proportional to 665.52, 917.91 and 432.24

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Solution

The fourth proportional to 665.52, 917.91 and 432.24 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.52 : 917.91 = 432.24 : x
  2. Step 2: Convert to fraction form
    665.52/917.91 = 432.24/x
  3. Step 3: Cross multiply
    665.52x = 917.91 × 432.24
  4. Step 4: Simplify right side
    665.52x = 396,757.42
  5. Step 5: Solve for x
    x = 396,757.42/665.52
  6. Step 6: Final answer
    x = 596.16

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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.