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Finding the Fourth Proportional to 881.38, 1,321.62 and 442.16

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Solution

The fourth proportional to 881.38, 1,321.62 and 442.16 is: 663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.38 : 1,321.62 = 442.16 : x
  2. Step 2: Convert to fraction form
    881.38/1,321.62 = 442.16/x
  3. Step 3: Cross multiply
    881.38x = 1,321.62 × 442.16
  4. Step 4: Simplify right side
    881.38x = 584,364.19
  5. Step 5: Solve for x
    x = 584,364.19/881.38
  6. Step 6: Final answer
    x = 663.01

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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.