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Finding the Fourth Proportional to 782.19, 1,079.42 and 428.11

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Solution

The fourth proportional to 782.19, 1,079.42 and 428.11 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,079.42 = 428.11 : x
  2. Step 2: Convert to fraction form
    782.19/1,079.42 = 428.11/x
  3. Step 3: Cross multiply
    782.19x = 1,079.42 × 428.11
  4. Step 4: Simplify right side
    782.19x = 462,110.50
  5. Step 5: Solve for x
    x = 462,110.50/782.19
  6. Step 6: Final answer
    x = 590.79

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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.