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Finding the Fourth Proportional to 951.29, 1,428.30 and 541.25

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Solution

The fourth proportional to 951.29, 1,428.30 and 541.25 is: 812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.29 : 1,428.30 = 541.25 : x
  2. Step 2: Convert to fraction form
    951.29/1,428.30 = 541.25/x
  3. Step 3: Cross multiply
    951.29x = 1,428.30 × 541.25
  4. Step 4: Simplify right side
    951.29x = 773,067.38
  5. Step 5: Solve for x
    x = 773,067.38/951.29
  6. Step 6: Final answer
    x = 812.65

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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.