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Finding the Fourth Proportional to 782.24, 1,079.50 and 432.90

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Solution

The fourth proportional to 782.24, 1,079.50 and 432.90 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.24 : 1,079.50 = 432.90 : x
  2. Step 2: Convert to fraction form
    782.24/1,079.50 = 432.90/x
  3. Step 3: Cross multiply
    782.24x = 1,079.50 × 432.90
  4. Step 4: Simplify right side
    782.24x = 467,315.55
  5. Step 5: Solve for x
    x = 467,315.55/782.24
  6. Step 6: Final answer
    x = 597.41

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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.