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Finding the Fourth Proportional to 913.46, 1,370.16 and 547.97

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Solution

The fourth proportional to 913.46, 1,370.16 and 547.97 is: 821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.46 : 1,370.16 = 547.97 : x
  2. Step 2: Convert to fraction form
    913.46/1,370.16 = 547.97/x
  3. Step 3: Cross multiply
    913.46x = 1,370.16 × 547.97
  4. Step 4: Simplify right side
    913.46x = 750,799.72
  5. Step 5: Solve for x
    x = 750,799.72/913.46
  6. Step 6: Final answer
    x = 821.93

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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.