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Finding the Fourth Proportional to 991.13, 1,367.15 and 659.43

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Solution

The fourth proportional to 991.13, 1,367.15 and 659.43 is: 909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.13 : 1,367.15 = 659.43 : x
  2. Step 2: Convert to fraction form
    991.13/1,367.15 = 659.43/x
  3. Step 3: Cross multiply
    991.13x = 1,367.15 × 659.43
  4. Step 4: Simplify right side
    991.13x = 901,536.43
  5. Step 5: Solve for x
    x = 901,536.43/991.13
  6. Step 6: Final answer
    x = 909.61

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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.