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Finding the Fourth Proportional to 500.50, 749.67 and 378.82

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Solution

The fourth proportional to 500.50, 749.67 and 378.82 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 749.67 = 378.82 : x
  2. Step 2: Convert to fraction form
    500.50/749.67 = 378.82/x
  3. Step 3: Cross multiply
    500.50x = 749.67 × 378.82
  4. Step 4: Simplify right side
    500.50x = 283,989.99
  5. Step 5: Solve for x
    x = 283,989.99/500.50
  6. Step 6: Final answer
    x = 567.41

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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.