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Finding the Fourth Proportional to 706.20, 1,051.79 and 680.69

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Solution

The fourth proportional to 706.20, 1,051.79 and 680.69 is: 1,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 1,051.79 = 680.69 : x
  2. Step 2: Convert to fraction form
    706.20/1,051.79 = 680.69/x
  3. Step 3: Cross multiply
    706.20x = 1,051.79 × 680.69
  4. Step 4: Simplify right side
    706.20x = 715,934.27
  5. Step 5: Solve for x
    x = 715,934.27/706.20
  6. Step 6: Final answer
    x = 1,013.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.