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Finding the Fourth Proportional to 1,782.30, 2,672.84 and 686.57

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Solution

The fourth proportional to 1,782.30, 2,672.84 and 686.57 is: 1,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.30 : 2,672.84 = 686.57 : x
  2. Step 2: Convert to fraction form
    1,782.30/2,672.84 = 686.57/x
  3. Step 3: Cross multiply
    1,782.30x = 2,672.84 × 686.57
  4. Step 4: Simplify right side
    1,782.30x = 1,835,091.76
  5. Step 5: Solve for x
    x = 1,835,091.76/1,782.30
  6. Step 6: Final answer
    x = 1,029.62

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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.