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Finding the Fourth Proportional to 951.81, 1,428.23 and 722.13

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Solution

The fourth proportional to 951.81, 1,428.23 and 722.13 is: 1,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.81 : 1,428.23 = 722.13 : x
  2. Step 2: Convert to fraction form
    951.81/1,428.23 = 722.13/x
  3. Step 3: Cross multiply
    951.81x = 1,428.23 × 722.13
  4. Step 4: Simplify right side
    951.81x = 1,031,367.73
  5. Step 5: Solve for x
    x = 1,031,367.73/951.81
  6. Step 6: Final answer
    x = 1,083.59

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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.