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Finding the Fourth Proportional to 706.30, 1,059.68 and 447.91

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Solution

The fourth proportional to 706.30, 1,059.68 and 447.91 is: 672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.30 : 1,059.68 = 447.91 : x
  2. Step 2: Convert to fraction form
    706.30/1,059.68 = 447.91/x
  3. Step 3: Cross multiply
    706.30x = 1,059.68 × 447.91
  4. Step 4: Simplify right side
    706.30x = 474,641.27
  5. Step 5: Solve for x
    x = 474,641.27/706.30
  6. Step 6: Final answer
    x = 672.01

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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.