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Finding the Fourth Proportional to 1,686.38, 2,529.74 and 453.78

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Solution

The fourth proportional to 1,686.38, 2,529.74 and 453.78 is: 680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.38 : 2,529.74 = 453.78 : x
  2. Step 2: Convert to fraction form
    1,686.38/2,529.74 = 453.78/x
  3. Step 3: Cross multiply
    1,686.38x = 2,529.74 × 453.78
  4. Step 4: Simplify right side
    1,686.38x = 1,147,946.55
  5. Step 5: Solve for x
    x = 1,147,946.55/1,686.38
  6. Step 6: Final answer
    x = 680.72

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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.