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Finding the Fourth Proportional to 951.70, 1,419.02 and 943.21

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Solution

The fourth proportional to 951.70, 1,419.02 and 943.21 is: 1,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.70 : 1,419.02 = 943.21 : x
  2. Step 2: Convert to fraction form
    951.70/1,419.02 = 943.21/x
  3. Step 3: Cross multiply
    951.70x = 1,419.02 × 943.21
  4. Step 4: Simplify right side
    951.70x = 1,338,433.85
  5. Step 5: Solve for x
    x = 1,338,433.85/951.70
  6. Step 6: Final answer
    x = 1,406.36

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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.