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Finding the Fourth Proportional to 913.92, 1,372.56 and 549.36

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Solution

The fourth proportional to 913.92, 1,372.56 and 549.36 is: 825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.92 : 1,372.56 = 549.36 : x
  2. Step 2: Convert to fraction form
    913.92/1,372.56 = 549.36/x
  3. Step 3: Cross multiply
    913.92x = 1,372.56 × 549.36
  4. Step 4: Simplify right side
    913.92x = 754,029.56
  5. Step 5: Solve for x
    x = 754,029.56/913.92
  6. Step 6: Final answer
    x = 825.05

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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.