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Finding the Fourth Proportional to 991.69, 1,367.54 and 726.18

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Solution

The fourth proportional to 991.69, 1,367.54 and 726.18 is: 1,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.69 : 1,367.54 = 726.18 : x
  2. Step 2: Convert to fraction form
    991.69/1,367.54 = 726.18/x
  3. Step 3: Cross multiply
    991.69x = 1,367.54 × 726.18
  4. Step 4: Simplify right side
    991.69x = 993,080.20
  5. Step 5: Solve for x
    x = 993,080.20/991.69
  6. Step 6: Final answer
    x = 1,001.40

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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.