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Finding the Fourth Proportional to 898.13, 1,347.42 and 281.81

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Solution

The fourth proportional to 898.13, 1,347.42 and 281.81 is: 422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,347.42 = 281.81 : x
  2. Step 2: Convert to fraction form
    898.13/1,347.42 = 281.81/x
  3. Step 3: Cross multiply
    898.13x = 1,347.42 × 281.81
  4. Step 4: Simplify right side
    898.13x = 379,716.43
  5. Step 5: Solve for x
    x = 379,716.43/898.13
  6. Step 6: Final answer
    x = 422.79

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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.