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Finding the Fourth Proportional to 881.38, 1,319.33 and 650.53

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Solution

The fourth proportional to 881.38, 1,319.33 and 650.53 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.38 : 1,319.33 = 650.53 : x
  2. Step 2: Convert to fraction form
    881.38/1,319.33 = 650.53/x
  3. Step 3: Cross multiply
    881.38x = 1,319.33 × 650.53
  4. Step 4: Simplify right side
    881.38x = 858,263.74
  5. Step 5: Solve for x
    x = 858,263.74/881.38
  6. Step 6: Final answer
    x = 973.77

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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.