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Finding the Fourth Proportional to 709.27, 1,062.28 and 697.39

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Solution

The fourth proportional to 709.27, 1,062.28 and 697.39 is: 1,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.27 : 1,062.28 = 697.39 : x
  2. Step 2: Convert to fraction form
    709.27/1,062.28 = 697.39/x
  3. Step 3: Cross multiply
    709.27x = 1,062.28 × 697.39
  4. Step 4: Simplify right side
    709.27x = 740,823.45
  5. Step 5: Solve for x
    x = 740,823.45/709.27
  6. Step 6: Final answer
    x = 1,044.49

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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.