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Finding the Fourth Proportional to 706.75, 1,060.11 and 316.66

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Solution

The fourth proportional to 706.75, 1,060.11 and 316.66 is: 474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 1,060.11 = 316.66 : x
  2. Step 2: Convert to fraction form
    706.75/1,060.11 = 316.66/x
  3. Step 3: Cross multiply
    706.75x = 1,060.11 × 316.66
  4. Step 4: Simplify right side
    706.75x = 335,689.13
  5. Step 5: Solve for x
    x = 335,689.13/706.75
  6. Step 6: Final answer
    x = 474.98

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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.