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Finding the Fourth Proportional to 500.96, 749.82 and 378.38

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Solution

The fourth proportional to 500.96, 749.82 and 378.38 is: 566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 749.82 = 378.38 : x
  2. Step 2: Convert to fraction form
    500.96/749.82 = 378.38/x
  3. Step 3: Cross multiply
    500.96x = 749.82 × 378.38
  4. Step 4: Simplify right side
    500.96x = 283,716.89
  5. Step 5: Solve for x
    x = 283,716.89/500.96
  6. Step 6: Final answer
    x = 566.35

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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.