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Finding the Fourth Proportional to 950.37, 1,306.48 and 817.10

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Solution

The fourth proportional to 950.37, 1,306.48 and 817.10 is: 1,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.37 : 1,306.48 = 817.10 : x
  2. Step 2: Convert to fraction form
    950.37/1,306.48 = 817.10/x
  3. Step 3: Cross multiply
    950.37x = 1,306.48 × 817.10
  4. Step 4: Simplify right side
    950.37x = 1,067,524.20
  5. Step 5: Solve for x
    x = 1,067,524.20/950.37
  6. Step 6: Final answer
    x = 1,123.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.