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Finding the Fourth Proportional to 748.77, 1,123.46 and 474.78

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Solution

The fourth proportional to 748.77, 1,123.46 and 474.78 is: 712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.77 : 1,123.46 = 474.78 : x
  2. Step 2: Convert to fraction form
    748.77/1,123.46 = 474.78/x
  3. Step 3: Cross multiply
    748.77x = 1,123.46 × 474.78
  4. Step 4: Simplify right side
    748.77x = 533,393.96
  5. Step 5: Solve for x
    x = 533,393.96/748.77
  6. Step 6: Final answer
    x = 712.36

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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.