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Finding the Fourth Proportional to 782.17, 1,079.42 and 432.86

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Solution

The fourth proportional to 782.17, 1,079.42 and 432.86 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.17 : 1,079.42 = 432.86 : x
  2. Step 2: Convert to fraction form
    782.17/1,079.42 = 432.86/x
  3. Step 3: Cross multiply
    782.17x = 1,079.42 × 432.86
  4. Step 4: Simplify right side
    782.17x = 467,237.74
  5. Step 5: Solve for x
    x = 467,237.74/782.17
  6. Step 6: Final answer
    x = 597.36

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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.