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Finding the Fourth Proportional to 782.33, 1,079.34 and 487.49

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Solution

The fourth proportional to 782.33, 1,079.34 and 487.49 is: 672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.33 : 1,079.34 = 487.49 : x
  2. Step 2: Convert to fraction form
    782.33/1,079.34 = 487.49/x
  3. Step 3: Cross multiply
    782.33x = 1,079.34 × 487.49
  4. Step 4: Simplify right side
    782.33x = 526,167.46
  5. Step 5: Solve for x
    x = 526,167.46/782.33
  6. Step 6: Final answer
    x = 672.56

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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.