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Finding the Fourth Proportional to 1,784.34, 2,675.24 and 687.78

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Solution

The fourth proportional to 1,784.34, 2,675.24 and 687.78 is: 1,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.34 : 2,675.24 = 687.78 : x
  2. Step 2: Convert to fraction form
    1,784.34/2,675.24 = 687.78/x
  3. Step 3: Cross multiply
    1,784.34x = 2,675.24 × 687.78
  4. Step 4: Simplify right side
    1,784.34x = 1,839,976.57
  5. Step 5: Solve for x
    x = 1,839,976.57/1,784.34
  6. Step 6: Final answer
    x = 1,031.18

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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.