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Finding the Fourth Proportional to 813.78, 1,122.36 and 548.28

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Solution

The fourth proportional to 813.78, 1,122.36 and 548.28 is: 756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.78 : 1,122.36 = 548.28 : x
  2. Step 2: Convert to fraction form
    813.78/1,122.36 = 548.28/x
  3. Step 3: Cross multiply
    813.78x = 1,122.36 × 548.28
  4. Step 4: Simplify right side
    813.78x = 615,367.54
  5. Step 5: Solve for x
    x = 615,367.54/813.78
  6. Step 6: Final answer
    x = 756.18

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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.