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Finding the Fourth Proportional to 951.05, 1,309.73 and 773.70

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Solution

The fourth proportional to 951.05, 1,309.73 and 773.70 is: 1,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.05 : 1,309.73 = 773.70 : x
  2. Step 2: Convert to fraction form
    951.05/1,309.73 = 773.70/x
  3. Step 3: Cross multiply
    951.05x = 1,309.73 × 773.70
  4. Step 4: Simplify right side
    951.05x = 1,013,331.55
  5. Step 5: Solve for x
    x = 1,013,331.55/951.05
  6. Step 6: Final answer
    x = 1,065.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.