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Finding the Fourth Proportional to 961.55, 1,442.12 and 311.93

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Solution

The fourth proportional to 961.55, 1,442.12 and 311.93 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.55 : 1,442.12 = 311.93 : x
  2. Step 2: Convert to fraction form
    961.55/1,442.12 = 311.93/x
  3. Step 3: Cross multiply
    961.55x = 1,442.12 × 311.93
  4. Step 4: Simplify right side
    961.55x = 449,840.49
  5. Step 5: Solve for x
    x = 449,840.49/961.55
  6. Step 6: Final answer
    x = 467.83

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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.