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Finding the Fourth Proportional to 1,687.68, 2,531.79 and 713.79

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Solution

The fourth proportional to 1,687.68, 2,531.79 and 713.79 is: 1,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.68 : 2,531.79 = 713.79 : x
  2. Step 2: Convert to fraction form
    1,687.68/2,531.79 = 713.79/x
  3. Step 3: Cross multiply
    1,687.68x = 2,531.79 × 713.79
  4. Step 4: Simplify right side
    1,687.68x = 1,807,166.38
  5. Step 5: Solve for x
    x = 1,807,166.38/1,687.68
  6. Step 6: Final answer
    x = 1,070.80

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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.