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Finding the Fourth Proportional to 961.50, 1,327.35 and 903.90

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Solution

The fourth proportional to 961.50, 1,327.35 and 903.90 is: 1,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.50 : 1,327.35 = 903.90 : x
  2. Step 2: Convert to fraction form
    961.50/1,327.35 = 903.90/x
  3. Step 3: Cross multiply
    961.50x = 1,327.35 × 903.90
  4. Step 4: Simplify right side
    961.50x = 1,199,791.67
  5. Step 5: Solve for x
    x = 1,199,791.67/961.50
  6. Step 6: Final answer
    x = 1,247.83

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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.