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Finding the Fourth Proportional to 709.31, 1,061.54 and 647.68

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Solution

The fourth proportional to 709.31, 1,061.54 and 647.68 is: 969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 1,061.54 = 647.68 : x
  2. Step 2: Convert to fraction form
    709.31/1,061.54 = 647.68/x
  3. Step 3: Cross multiply
    709.31x = 1,061.54 × 647.68
  4. Step 4: Simplify right side
    709.31x = 687,532.33
  5. Step 5: Solve for x
    x = 687,532.33/709.31
  6. Step 6: Final answer
    x = 969.30

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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.