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Finding the Fourth Proportional to 987.26, 1,352.54 and 950.34

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Solution

The fourth proportional to 987.26, 1,352.54 and 950.34 is: 1,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.26 : 1,352.54 = 950.34 : x
  2. Step 2: Convert to fraction form
    987.26/1,352.54 = 950.34/x
  3. Step 3: Cross multiply
    987.26x = 1,352.54 × 950.34
  4. Step 4: Simplify right side
    987.26x = 1,285,372.86
  5. Step 5: Solve for x
    x = 1,285,372.86/987.26
  6. Step 6: Final answer
    x = 1,301.96

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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.