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Finding the Fourth Proportional to 1,178.01, 1,766.97 and 715.91

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Solution

The fourth proportional to 1,178.01, 1,766.97 and 715.91 is: 1,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.01 : 1,766.97 = 715.91 : x
  2. Step 2: Convert to fraction form
    1,178.01/1,766.97 = 715.91/x
  3. Step 3: Cross multiply
    1,178.01x = 1,766.97 × 715.91
  4. Step 4: Simplify right side
    1,178.01x = 1,264,982.66
  5. Step 5: Solve for x
    x = 1,264,982.66/1,178.01
  6. Step 6: Final answer
    x = 1,073.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.