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Finding the Fourth Proportional to 961.98, 1,443.18 and 312.69

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Solution

The fourth proportional to 961.98, 1,443.18 and 312.69 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.98 : 1,443.18 = 312.69 : x
  2. Step 2: Convert to fraction form
    961.98/1,443.18 = 312.69/x
  3. Step 3: Cross multiply
    961.98x = 1,443.18 × 312.69
  4. Step 4: Simplify right side
    961.98x = 451,267.95
  5. Step 5: Solve for x
    x = 451,267.95/961.98
  6. Step 6: Final answer
    x = 469.10

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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.