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Finding the Fourth Proportional to 708.32, 1,063.56 and 617.60

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Solution

The fourth proportional to 708.32, 1,063.56 and 617.60 is: 927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 1,063.56 = 617.60 : x
  2. Step 2: Convert to fraction form
    708.32/1,063.56 = 617.60/x
  3. Step 3: Cross multiply
    708.32x = 1,063.56 × 617.60
  4. Step 4: Simplify right side
    708.32x = 656,854.66
  5. Step 5: Solve for x
    x = 656,854.66/708.32
  6. Step 6: Final answer
    x = 927.34

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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.