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Finding the Fourth Proportional to 542.46, 748.97 and 365.69

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Solution

The fourth proportional to 542.46, 748.97 and 365.69 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 748.97 = 365.69 : x
  2. Step 2: Convert to fraction form
    542.46/748.97 = 365.69/x
  3. Step 3: Cross multiply
    542.46x = 748.97 × 365.69
  4. Step 4: Simplify right side
    542.46x = 273,890.84
  5. Step 5: Solve for x
    x = 273,890.84/542.46
  6. Step 6: Final answer
    x = 504.91

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.