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Finding the Fourth Proportional to 782.57, 1,079.94 and 428.48

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Solution

The fourth proportional to 782.57, 1,079.94 and 428.48 is: 591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,079.94 = 428.48 : x
  2. Step 2: Convert to fraction form
    782.57/1,079.94 = 428.48/x
  3. Step 3: Cross multiply
    782.57x = 1,079.94 × 428.48
  4. Step 4: Simplify right side
    782.57x = 462,735.41
  5. Step 5: Solve for x
    x = 462,735.41/782.57
  6. Step 6: Final answer
    x = 591.30

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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.