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Finding the Fourth Proportional to 971.11, 1,338.51 and 721.99

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Solution

The fourth proportional to 971.11, 1,338.51 and 721.99 is: 995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.11 : 1,338.51 = 721.99 : x
  2. Step 2: Convert to fraction form
    971.11/1,338.51 = 721.99/x
  3. Step 3: Cross multiply
    971.11x = 1,338.51 × 721.99
  4. Step 4: Simplify right side
    971.11x = 966,390.83
  5. Step 5: Solve for x
    x = 966,390.83/971.11
  6. Step 6: Final answer
    x = 995.14

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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.