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Finding the Fourth Proportional to 782.20, 1,078.14 and 595.48

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Solution

The fourth proportional to 782.20, 1,078.14 and 595.48 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.20 : 1,078.14 = 595.48 : x
  2. Step 2: Convert to fraction form
    782.20/1,078.14 = 595.48/x
  3. Step 3: Cross multiply
    782.20x = 1,078.14 × 595.48
  4. Step 4: Simplify right side
    782.20x = 642,010.81
  5. Step 5: Solve for x
    x = 642,010.81/782.20
  6. Step 6: Final answer
    x = 820.78

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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.