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Finding the Fourth Proportional to 971.54, 1,340.80 and 839.12

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Solution

The fourth proportional to 971.54, 1,340.80 and 839.12 is: 1,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.54 : 1,340.80 = 839.12 : x
  2. Step 2: Convert to fraction form
    971.54/1,340.80 = 839.12/x
  3. Step 3: Cross multiply
    971.54x = 1,340.80 × 839.12
  4. Step 4: Simplify right side
    971.54x = 1,125,092.10
  5. Step 5: Solve for x
    x = 1,125,092.10/971.54
  6. Step 6: Final answer
    x = 1,158.05

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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.