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Finding the Fourth Proportional to 958.78, 1,437.30 and 381.52

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Solution

The fourth proportional to 958.78, 1,437.30 and 381.52 is: 571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.78 : 1,437.30 = 381.52 : x
  2. Step 2: Convert to fraction form
    958.78/1,437.30 = 381.52/x
  3. Step 3: Cross multiply
    958.78x = 1,437.30 × 381.52
  4. Step 4: Simplify right side
    958.78x = 548,358.70
  5. Step 5: Solve for x
    x = 548,358.70/958.78
  6. Step 6: Final answer
    x = 571.93

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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.