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Finding the Fourth Proportional to 705.68, 1,057.32 and 688.68

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Solution

The fourth proportional to 705.68, 1,057.32 and 688.68 is: 1,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.68 : 1,057.32 = 688.68 : x
  2. Step 2: Convert to fraction form
    705.68/1,057.32 = 688.68/x
  3. Step 3: Cross multiply
    705.68x = 1,057.32 × 688.68
  4. Step 4: Simplify right side
    705.68x = 728,155.14
  5. Step 5: Solve for x
    x = 728,155.14/705.68
  6. Step 6: Final answer
    x = 1,031.85

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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.