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Finding the Fourth Proportional to 500.39, 750.71 and 175.78

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Solution

The fourth proportional to 500.39, 750.71 and 175.78 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.39 : 750.71 = 175.78 : x
  2. Step 2: Convert to fraction form
    500.39/750.71 = 175.78/x
  3. Step 3: Cross multiply
    500.39x = 750.71 × 175.78
  4. Step 4: Simplify right side
    500.39x = 131,958.37
  5. Step 5: Solve for x
    x = 131,958.37/500.39
  6. Step 6: Final answer
    x = 263.71

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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.