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Finding the Fourth Proportional to 898.00, 1,344.87 and 572.38

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Solution

The fourth proportional to 898.00, 1,344.87 and 572.38 is: 857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.00 : 1,344.87 = 572.38 : x
  2. Step 2: Convert to fraction form
    898.00/1,344.87 = 572.38/x
  3. Step 3: Cross multiply
    898.00x = 1,344.87 × 572.38
  4. Step 4: Simplify right side
    898.00x = 769,773.33
  5. Step 5: Solve for x
    x = 769,773.33/898.00
  6. Step 6: Final answer
    x = 857.21

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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.