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Finding the Fourth Proportional to 755.70, 1,042.90 and 475.90

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Solution

The fourth proportional to 755.70, 1,042.90 and 475.90 is: 656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.70 : 1,042.90 = 475.90 : x
  2. Step 2: Convert to fraction form
    755.70/1,042.90 = 475.90/x
  3. Step 3: Cross multiply
    755.70x = 1,042.90 × 475.90
  4. Step 4: Simplify right side
    755.70x = 496,313.73
  5. Step 5: Solve for x
    x = 496,313.73/755.70
  6. Step 6: Final answer
    x = 656.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.