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Finding the Fourth Proportional to 705.20, 1,057.76 and 461.92

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Solution

The fourth proportional to 705.20, 1,057.76 and 461.92 is: 692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,057.76 = 461.92 : x
  2. Step 2: Convert to fraction form
    705.20/1,057.76 = 461.92/x
  3. Step 3: Cross multiply
    705.20x = 1,057.76 × 461.92
  4. Step 4: Simplify right side
    705.20x = 488,600.50
  5. Step 5: Solve for x
    x = 488,600.50/705.20
  6. Step 6: Final answer
    x = 692.85

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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.