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Finding the Fourth Proportional to 881.98, 1,324.47 and 735.58

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Solution

The fourth proportional to 881.98, 1,324.47 and 735.58 is: 1,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.98 : 1,324.47 = 735.58 : x
  2. Step 2: Convert to fraction form
    881.98/1,324.47 = 735.58/x
  3. Step 3: Cross multiply
    881.98x = 1,324.47 × 735.58
  4. Step 4: Simplify right side
    881.98x = 974,253.64
  5. Step 5: Solve for x
    x = 974,253.64/881.98
  6. Step 6: Final answer
    x = 1,104.62

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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.