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Finding the Fourth Proportional to 898.18, 1,339.24 and 896.43

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Solution

The fourth proportional to 898.18, 1,339.24 and 896.43 is: 1,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.18 : 1,339.24 = 896.43 : x
  2. Step 2: Convert to fraction form
    898.18/1,339.24 = 896.43/x
  3. Step 3: Cross multiply
    898.18x = 1,339.24 × 896.43
  4. Step 4: Simplify right side
    898.18x = 1,200,534.91
  5. Step 5: Solve for x
    x = 1,200,534.91/898.18
  6. Step 6: Final answer
    x = 1,336.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.