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Finding the Fourth Proportional to 500.54, 749.78 and 294.49

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Solution

The fourth proportional to 500.54, 749.78 and 294.49 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.54 : 749.78 = 294.49 : x
  2. Step 2: Convert to fraction form
    500.54/749.78 = 294.49/x
  3. Step 3: Cross multiply
    500.54x = 749.78 × 294.49
  4. Step 4: Simplify right side
    500.54x = 220,798.96
  5. Step 5: Solve for x
    x = 220,798.96/500.54
  6. Step 6: Final answer
    x = 441.12

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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.