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Finding the Fourth Proportional to 706.92, 1,060.71 and 316.88

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Solution

The fourth proportional to 706.92, 1,060.71 and 316.88 is: 475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,060.71 = 316.88 : x
  2. Step 2: Convert to fraction form
    706.92/1,060.71 = 316.88/x
  3. Step 3: Cross multiply
    706.92x = 1,060.71 × 316.88
  4. Step 4: Simplify right side
    706.92x = 336,116.20
  5. Step 5: Solve for x
    x = 336,116.20/706.92
  6. Step 6: Final answer
    x = 475.47

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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.