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Finding the Fourth Proportional to 749.68, 1,123.49 and 475.28

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Solution

The fourth proportional to 749.68, 1,123.49 and 475.28 is: 712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.68 : 1,123.49 = 475.28 : x
  2. Step 2: Convert to fraction form
    749.68/1,123.49 = 475.28/x
  3. Step 3: Cross multiply
    749.68x = 1,123.49 × 475.28
  4. Step 4: Simplify right side
    749.68x = 533,968.28
  5. Step 5: Solve for x
    x = 533,968.28/749.68
  6. Step 6: Final answer
    x = 712.27

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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.