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Finding the Fourth Proportional to 1,972.82, 2,959.31 and 656.69

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Solution

The fourth proportional to 1,972.82, 2,959.31 and 656.69 is: 985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.82 : 2,959.31 = 656.69 : x
  2. Step 2: Convert to fraction form
    1,972.82/2,959.31 = 656.69/x
  3. Step 3: Cross multiply
    1,972.82x = 2,959.31 × 656.69
  4. Step 4: Simplify right side
    1,972.82x = 1,943,346.00
  5. Step 5: Solve for x
    x = 1,943,346.00/1,972.82
  6. Step 6: Final answer
    x = 985.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.