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Finding the Fourth Proportional to 961.61, 1,327.01 and 541.95

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Solution

The fourth proportional to 961.61, 1,327.01 and 541.95 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.61 : 1,327.01 = 541.95 : x
  2. Step 2: Convert to fraction form
    961.61/1,327.01 = 541.95/x
  3. Step 3: Cross multiply
    961.61x = 1,327.01 × 541.95
  4. Step 4: Simplify right side
    961.61x = 719,170.36
  5. Step 5: Solve for x
    x = 719,170.36/961.61
  6. Step 6: Final answer
    x = 747.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.