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Finding the Fourth Proportional to 961.71, 1,442.46 and 312.30

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Solution

The fourth proportional to 961.71, 1,442.46 and 312.30 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.71 : 1,442.46 = 312.30 : x
  2. Step 2: Convert to fraction form
    961.71/1,442.46 = 312.30/x
  3. Step 3: Cross multiply
    961.71x = 1,442.46 × 312.30
  4. Step 4: Simplify right side
    961.71x = 450,480.26
  5. Step 5: Solve for x
    x = 450,480.26/961.71
  6. Step 6: Final answer
    x = 468.42

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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.