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Finding the Fourth Proportional to 898.56, 1,239.84 and 549

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Solution

The fourth proportional to 898.56, 1,239.84 and 549 is: 757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,239.84 = 549 : x
  2. Step 2: Convert to fraction form
    898.56/1,239.84 = 549/x
  3. Step 3: Cross multiply
    898.56x = 1,239.84 × 549
  4. Step 4: Simplify right side
    898.56x = 680,672.16
  5. Step 5: Solve for x
    x = 680,672.16/898.56
  6. Step 6: Final answer
    x = 757.51

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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.