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Finding the Fourth Proportional to 867.34, 1,306.15 and 781.66

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Solution

The fourth proportional to 867.34, 1,306.15 and 781.66 is: 1,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.34 : 1,306.15 = 781.66 : x
  2. Step 2: Convert to fraction form
    867.34/1,306.15 = 781.66/x
  3. Step 3: Cross multiply
    867.34x = 1,306.15 × 781.66
  4. Step 4: Simplify right side
    867.34x = 1,020,965.21
  5. Step 5: Solve for x
    x = 1,020,965.21/867.34
  6. Step 6: Final answer
    x = 1,177.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.