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Finding the Fourth Proportional to 748.98, 1,123.52 and 316.17

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Solution

The fourth proportional to 748.98, 1,123.52 and 316.17 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,123.52 = 316.17 : x
  2. Step 2: Convert to fraction form
    748.98/1,123.52 = 316.17/x
  3. Step 3: Cross multiply
    748.98x = 1,123.52 × 316.17
  4. Step 4: Simplify right side
    748.98x = 355,221.74
  5. Step 5: Solve for x
    x = 355,221.74/748.98
  6. Step 6: Final answer
    x = 474.27

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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.