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Finding the Fourth Proportional to 891.44, 1,337.46 and 645.20

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Solution

The fourth proportional to 891.44, 1,337.46 and 645.20 is: 968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.44 : 1,337.46 = 645.20 : x
  2. Step 2: Convert to fraction form
    891.44/1,337.46 = 645.20/x
  3. Step 3: Cross multiply
    891.44x = 1,337.46 × 645.20
  4. Step 4: Simplify right side
    891.44x = 862,929.19
  5. Step 5: Solve for x
    x = 862,929.19/891.44
  6. Step 6: Final answer
    x = 968.02

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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.