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Finding the Fourth Proportional to 782.85, 1,174.18 and 431.11

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Solution

The fourth proportional to 782.85, 1,174.18 and 431.11 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.85 : 1,174.18 = 431.11 : x
  2. Step 2: Convert to fraction form
    782.85/1,174.18 = 431.11/x
  3. Step 3: Cross multiply
    782.85x = 1,174.18 × 431.11
  4. Step 4: Simplify right side
    782.85x = 506,200.74
  5. Step 5: Solve for x
    x = 506,200.74/782.85
  6. Step 6: Final answer
    x = 646.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.