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Finding the Fourth Proportional to 898.78, 1,240.41 and 549.70

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Solution

The fourth proportional to 898.78, 1,240.41 and 549.70 is: 758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.78 : 1,240.41 = 549.70 : x
  2. Step 2: Convert to fraction form
    898.78/1,240.41 = 549.70/x
  3. Step 3: Cross multiply
    898.78x = 1,240.41 × 549.70
  4. Step 4: Simplify right side
    898.78x = 681,853.38
  5. Step 5: Solve for x
    x = 681,853.38/898.78
  6. Step 6: Final answer
    x = 758.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.