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Finding the Fourth Proportional to 898.49, 1,347.74 and 487.82

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Solution

The fourth proportional to 898.49, 1,347.74 and 487.82 is: 731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.49 : 1,347.74 = 487.82 : x
  2. Step 2: Convert to fraction form
    898.49/1,347.74 = 487.82/x
  3. Step 3: Cross multiply
    898.49x = 1,347.74 × 487.82
  4. Step 4: Simplify right side
    898.49x = 657,454.53
  5. Step 5: Solve for x
    x = 657,454.53/898.49
  6. Step 6: Final answer
    x = 731.73

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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.