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Finding the Fourth Proportional to 782.98, 1,078.04 and 595.87

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Solution

The fourth proportional to 782.98, 1,078.04 and 595.87 is: 820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,078.04 = 595.87 : x
  2. Step 2: Convert to fraction form
    782.98/1,078.04 = 595.87/x
  3. Step 3: Cross multiply
    782.98x = 1,078.04 × 595.87
  4. Step 4: Simplify right side
    782.98x = 642,370.49
  5. Step 5: Solve for x
    x = 642,370.49/782.98
  6. Step 6: Final answer
    x = 820.42

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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.