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Finding the Fourth Proportional to 748.78, 1,123.22 and 235.78

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Solution

The fourth proportional to 748.78, 1,123.22 and 235.78 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.78 : 1,123.22 = 235.78 : x
  2. Step 2: Convert to fraction form
    748.78/1,123.22 = 235.78/x
  3. Step 3: Cross multiply
    748.78x = 1,123.22 × 235.78
  4. Step 4: Simplify right side
    748.78x = 264,832.81
  5. Step 5: Solve for x
    x = 264,832.81/748.78
  6. Step 6: Final answer
    x = 353.69

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.