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Finding the Fourth Proportional to 687.84, 1,031.67 and 254.94

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Solution

The fourth proportional to 687.84, 1,031.67 and 254.94 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 1,031.67 = 254.94 : x
  2. Step 2: Convert to fraction form
    687.84/1,031.67 = 254.94/x
  3. Step 3: Cross multiply
    687.84x = 1,031.67 × 254.94
  4. Step 4: Simplify right side
    687.84x = 263,013.95
  5. Step 5: Solve for x
    x = 263,013.95/687.84
  6. Step 6: Final answer
    x = 382.38

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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.