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Finding the Fourth Proportional to 750.20, 1,123.74 and 475.76

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Solution

The fourth proportional to 750.20, 1,123.74 and 475.76 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.20 : 1,123.74 = 475.76 : x
  2. Step 2: Convert to fraction form
    750.20/1,123.74 = 475.76/x
  3. Step 3: Cross multiply
    750.20x = 1,123.74 × 475.76
  4. Step 4: Simplify right side
    750.20x = 534,630.54
  5. Step 5: Solve for x
    x = 534,630.54/750.20
  6. Step 6: Final answer
    x = 712.65

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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.