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Finding the Fourth Proportional to 782.32, 1,079.63 and 595.95

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Solution

The fourth proportional to 782.32, 1,079.63 and 595.95 is: 822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.32 : 1,079.63 = 595.95 : x
  2. Step 2: Convert to fraction form
    782.32/1,079.63 = 595.95/x
  3. Step 3: Cross multiply
    782.32x = 1,079.63 × 595.95
  4. Step 4: Simplify right side
    782.32x = 643,397.12
  5. Step 5: Solve for x
    x = 643,397.12/782.32
  6. Step 6: Final answer
    x = 822.43

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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.