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Finding the Fourth Proportional to 913.61, 1,363.28 and 815.43

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Solution

The fourth proportional to 913.61, 1,363.28 and 815.43 is: 1,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.61 : 1,363.28 = 815.43 : x
  2. Step 2: Convert to fraction form
    913.61/1,363.28 = 815.43/x
  3. Step 3: Cross multiply
    913.61x = 1,363.28 × 815.43
  4. Step 4: Simplify right side
    913.61x = 1,111,655.33
  5. Step 5: Solve for x
    x = 1,111,655.33/913.61
  6. Step 6: Final answer
    x = 1,216.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.