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Finding the Fourth Proportional to 782.59, 1,078.82 and 595.76

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Solution

The fourth proportional to 782.59, 1,078.82 and 595.76 is: 821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.59 : 1,078.82 = 595.76 : x
  2. Step 2: Convert to fraction form
    782.59/1,078.82 = 595.76/x
  3. Step 3: Cross multiply
    782.59x = 1,078.82 × 595.76
  4. Step 4: Simplify right side
    782.59x = 642,713.90
  5. Step 5: Solve for x
    x = 642,713.90/782.59
  6. Step 6: Final answer
    x = 821.26

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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.