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Finding the Fourth Proportional to 1,687.67, 2,329 and 931.49

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Solution

The fourth proportional to 1,687.67, 2,329 and 931.49 is: 1,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.67 : 2,329 = 931.49 : x
  2. Step 2: Convert to fraction form
    1,687.67/2,329 = 931.49/x
  3. Step 3: Cross multiply
    1,687.67x = 2,329 × 931.49
  4. Step 4: Simplify right side
    1,687.67x = 2,169,428.57
  5. Step 5: Solve for x
    x = 2,169,428.57/1,687.67
  6. Step 6: Final answer
    x = 1,285.46

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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.