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Finding the Fourth Proportional to 701.48, 1,053.66 and 666.92

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Solution

The fourth proportional to 701.48, 1,053.66 and 666.92 is: 1,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.48 : 1,053.66 = 666.92 : x
  2. Step 2: Convert to fraction form
    701.48/1,053.66 = 666.92/x
  3. Step 3: Cross multiply
    701.48x = 1,053.66 × 666.92
  4. Step 4: Simplify right side
    701.48x = 702,706.93
  5. Step 5: Solve for x
    x = 702,706.93/701.48
  6. Step 6: Final answer
    x = 1,001.75

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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.