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Finding the Fourth Proportional to 708.75, 1,063.11 and 318.66

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Solution

The fourth proportional to 708.75, 1,063.11 and 318.66 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 1,063.11 = 318.66 : x
  2. Step 2: Convert to fraction form
    708.75/1,063.11 = 318.66/x
  3. Step 3: Cross multiply
    708.75x = 1,063.11 × 318.66
  4. Step 4: Simplify right side
    708.75x = 338,770.63
  5. Step 5: Solve for x
    x = 338,770.63/708.75
  6. Step 6: Final answer
    x = 477.98

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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.