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Finding the Fourth Proportional to 961.59, 1,442.28 and 312.27

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Solution

The fourth proportional to 961.59, 1,442.28 and 312.27 is: 468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.59 : 1,442.28 = 312.27 : x
  2. Step 2: Convert to fraction form
    961.59/1,442.28 = 312.27/x
  3. Step 3: Cross multiply
    961.59x = 1,442.28 × 312.27
  4. Step 4: Simplify right side
    961.59x = 450,380.78
  5. Step 5: Solve for x
    x = 450,380.78/961.59
  6. Step 6: Final answer
    x = 468.37

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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.