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Finding the Fourth Proportional to 1,260.31, 1,739.06 and 700.66

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Solution

The fourth proportional to 1,260.31, 1,739.06 and 700.66 is: 966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.31 : 1,739.06 = 700.66 : x
  2. Step 2: Convert to fraction form
    1,260.31/1,739.06 = 700.66/x
  3. Step 3: Cross multiply
    1,260.31x = 1,739.06 × 700.66
  4. Step 4: Simplify right side
    1,260.31x = 1,218,495.97
  5. Step 5: Solve for x
    x = 1,218,495.97/1,260.31
  6. Step 6: Final answer
    x = 966.83

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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.