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Finding the Fourth Proportional to 782.27, 1,079.54 and 428.21

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Solution

The fourth proportional to 782.27, 1,079.54 and 428.21 is: 590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.27 : 1,079.54 = 428.21 : x
  2. Step 2: Convert to fraction form
    782.27/1,079.54 = 428.21/x
  3. Step 3: Cross multiply
    782.27x = 1,079.54 × 428.21
  4. Step 4: Simplify right side
    782.27x = 462,269.82
  5. Step 5: Solve for x
    x = 462,269.82/782.27
  6. Step 6: Final answer
    x = 590.93

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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.