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Finding the Fourth Proportional to 869.19, 1,301.36 and 801.15

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Solution

The fourth proportional to 869.19, 1,301.36 and 801.15 is: 1,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.19 : 1,301.36 = 801.15 : x
  2. Step 2: Convert to fraction form
    869.19/1,301.36 = 801.15/x
  3. Step 3: Cross multiply
    869.19x = 1,301.36 × 801.15
  4. Step 4: Simplify right side
    869.19x = 1,042,580.56
  5. Step 5: Solve for x
    x = 1,042,580.56/869.19
  6. Step 6: Final answer
    x = 1,199.49

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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.