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Finding the Fourth Proportional to 950.42, 1,422.68 and 869.68

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Solution

The fourth proportional to 950.42, 1,422.68 and 869.68 is: 1,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.42 : 1,422.68 = 869.68 : x
  2. Step 2: Convert to fraction form
    950.42/1,422.68 = 869.68/x
  3. Step 3: Cross multiply
    950.42x = 1,422.68 × 869.68
  4. Step 4: Simplify right side
    950.42x = 1,237,276.34
  5. Step 5: Solve for x
    x = 1,237,276.34/950.42
  6. Step 6: Final answer
    x = 1,301.82

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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.