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Finding the Fourth Proportional to 500.38, 750.75 and 307.78

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Solution

The fourth proportional to 500.38, 750.75 and 307.78 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 750.75 = 307.78 : x
  2. Step 2: Convert to fraction form
    500.38/750.75 = 307.78/x
  3. Step 3: Cross multiply
    500.38x = 750.75 × 307.78
  4. Step 4: Simplify right side
    500.38x = 231,065.84
  5. Step 5: Solve for x
    x = 231,065.84/500.38
  6. Step 6: Final answer
    x = 461.78

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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.