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Finding the Fourth Proportional to 1,687.85, 2,531.79 and 714.63

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Solution

The fourth proportional to 1,687.85, 2,531.79 and 714.63 is: 1,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.85 : 2,531.79 = 714.63 : x
  2. Step 2: Convert to fraction form
    1,687.85/2,531.79 = 714.63/x
  3. Step 3: Cross multiply
    1,687.85x = 2,531.79 × 714.63
  4. Step 4: Simplify right side
    1,687.85x = 1,809,293.09
  5. Step 5: Solve for x
    x = 1,809,293.09/1,687.85
  6. Step 6: Final answer
    x = 1,071.95

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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.