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Finding the Fourth Proportional to 749.34, 1,123.86 and 255.75

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Solution

The fourth proportional to 749.34, 1,123.86 and 255.75 is: 383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,123.86 = 255.75 : x
  2. Step 2: Convert to fraction form
    749.34/1,123.86 = 255.75/x
  3. Step 3: Cross multiply
    749.34x = 1,123.86 × 255.75
  4. Step 4: Simplify right side
    749.34x = 287,427.20
  5. Step 5: Solve for x
    x = 287,427.20/749.34
  6. Step 6: Final answer
    x = 383.57

Related Problems

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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.