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Finding the Fourth Proportional to 961.32, 1,441.89 and 312.06

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Solution

The fourth proportional to 961.32, 1,441.89 and 312.06 is: 468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.32 : 1,441.89 = 312.06 : x
  2. Step 2: Convert to fraction form
    961.32/1,441.89 = 312.06/x
  3. Step 3: Cross multiply
    961.32x = 1,441.89 × 312.06
  4. Step 4: Simplify right side
    961.32x = 449,956.19
  5. Step 5: Solve for x
    x = 449,956.19/961.32
  6. Step 6: Final answer
    x = 468.06

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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.