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Finding the Fourth Proportional to 991.66, 1,365.38 and 841.97

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Solution

The fourth proportional to 991.66, 1,365.38 and 841.97 is: 1,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.66 : 1,365.38 = 841.97 : x
  2. Step 2: Convert to fraction form
    991.66/1,365.38 = 841.97/x
  3. Step 3: Cross multiply
    991.66x = 1,365.38 × 841.97
  4. Step 4: Simplify right side
    991.66x = 1,149,609.91
  5. Step 5: Solve for x
    x = 1,149,609.91/991.66
  6. Step 6: Final answer
    x = 1,159.28

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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.