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Finding the Fourth Proportional to 781.27, 1,078.11 and 466.54

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Solution

The fourth proportional to 781.27, 1,078.11 and 466.54 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.27 : 1,078.11 = 466.54 : x
  2. Step 2: Convert to fraction form
    781.27/1,078.11 = 466.54/x
  3. Step 3: Cross multiply
    781.27x = 1,078.11 × 466.54
  4. Step 4: Simplify right side
    781.27x = 502,981.44
  5. Step 5: Solve for x
    x = 502,981.44/781.27
  6. Step 6: Final answer
    x = 643.80

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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.