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Finding the Fourth Proportional to 749.74, 1,124.55 and 475.23

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Solution

The fourth proportional to 749.74, 1,124.55 and 475.23 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.74 : 1,124.55 = 475.23 : x
  2. Step 2: Convert to fraction form
    749.74/1,124.55 = 475.23/x
  3. Step 3: Cross multiply
    749.74x = 1,124.55 × 475.23
  4. Step 4: Simplify right side
    749.74x = 534,414.27
  5. Step 5: Solve for x
    x = 534,414.27/749.74
  6. Step 6: Final answer
    x = 712.80

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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.