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Finding the Fourth Proportional to 782.47, 1,079.80 and 428.37

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Solution

The fourth proportional to 782.47, 1,079.80 and 428.37 is: 591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.47 : 1,079.80 = 428.37 : x
  2. Step 2: Convert to fraction form
    782.47/1,079.80 = 428.37/x
  3. Step 3: Cross multiply
    782.47x = 1,079.80 × 428.37
  4. Step 4: Simplify right side
    782.47x = 462,553.93
  5. Step 5: Solve for x
    x = 462,553.93/782.47
  6. Step 6: Final answer
    x = 591.15

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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.