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Finding the Fourth Proportional to 864.07, 1,191.61 and 801.19

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Solution

The fourth proportional to 864.07, 1,191.61 and 801.19 is: 1,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,191.61 = 801.19 : x
  2. Step 2: Convert to fraction form
    864.07/1,191.61 = 801.19/x
  3. Step 3: Cross multiply
    864.07x = 1,191.61 × 801.19
  4. Step 4: Simplify right side
    864.07x = 954,708.51
  5. Step 5: Solve for x
    x = 954,708.51/864.07
  6. Step 6: Final answer
    x = 1,104.90

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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.