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Finding the Fourth Proportional to 706.87, 1,057.06 and 575.65

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Solution

The fourth proportional to 706.87, 1,057.06 and 575.65 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.87 : 1,057.06 = 575.65 : x
  2. Step 2: Convert to fraction form
    706.87/1,057.06 = 575.65/x
  3. Step 3: Cross multiply
    706.87x = 1,057.06 × 575.65
  4. Step 4: Simplify right side
    706.87x = 608,496.59
  5. Step 5: Solve for x
    x = 608,496.59/706.87
  6. Step 6: Final answer
    x = 860.83

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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.