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Finding the Fourth Proportional to 749.74, 1,124.31 and 338.77

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Solution

The fourth proportional to 749.74, 1,124.31 and 338.77 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.74 : 1,124.31 = 338.77 : x
  2. Step 2: Convert to fraction form
    749.74/1,124.31 = 338.77/x
  3. Step 3: Cross multiply
    749.74x = 1,124.31 × 338.77
  4. Step 4: Simplify right side
    749.74x = 380,882.50
  5. Step 5: Solve for x
    x = 380,882.50/749.74
  6. Step 6: Final answer
    x = 508.02

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Double scale
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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.