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Finding the Fourth Proportional to 708.78, 1,065.21 and 659.56

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Solution

The fourth proportional to 708.78, 1,065.21 and 659.56 is: 991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.78 : 1,065.21 = 659.56 : x
  2. Step 2: Convert to fraction form
    708.78/1,065.21 = 659.56/x
  3. Step 3: Cross multiply
    708.78x = 1,065.21 × 659.56
  4. Step 4: Simplify right side
    708.78x = 702,569.91
  5. Step 5: Solve for x
    x = 702,569.91/708.78
  6. Step 6: Final answer
    x = 991.24

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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.