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Finding the Fourth Proportional to 731.71, 1,089.71 and 700.12

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Solution

The fourth proportional to 731.71, 1,089.71 and 700.12 is: 1,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.71 : 1,089.71 = 700.12 : x
  2. Step 2: Convert to fraction form
    731.71/1,089.71 = 700.12/x
  3. Step 3: Cross multiply
    731.71x = 1,089.71 × 700.12
  4. Step 4: Simplify right side
    731.71x = 762,927.77
  5. Step 5: Solve for x
    x = 762,927.77/731.71
  6. Step 6: Final answer
    x = 1,042.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.