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Finding the Fourth Proportional to 706.65, 1,057.87 and 676.57

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Solution

The fourth proportional to 706.65, 1,057.87 and 676.57 is: 1,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 1,057.87 = 676.57 : x
  2. Step 2: Convert to fraction form
    706.65/1,057.87 = 676.57/x
  3. Step 3: Cross multiply
    706.65x = 1,057.87 × 676.57
  4. Step 4: Simplify right side
    706.65x = 715,723.11
  5. Step 5: Solve for x
    x = 715,723.11/706.65
  6. Step 6: Final answer
    x = 1,012.84

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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.