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Finding the Fourth Proportional to 961.33, 1,442.13 and 467.77

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Solution

The fourth proportional to 961.33, 1,442.13 and 467.77 is: 701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.33 : 1,442.13 = 467.77 : x
  2. Step 2: Convert to fraction form
    961.33/1,442.13 = 467.77/x
  3. Step 3: Cross multiply
    961.33x = 1,442.13 × 467.77
  4. Step 4: Simplify right side
    961.33x = 674,579.72
  5. Step 5: Solve for x
    x = 674,579.72/961.33
  6. Step 6: Final answer
    x = 701.71

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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.