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Finding the Fourth Proportional to 1,686.22, 2,528.54 and 711.78

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Solution

The fourth proportional to 1,686.22, 2,528.54 and 711.78 is: 1,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.22 : 2,528.54 = 711.78 : x
  2. Step 2: Convert to fraction form
    1,686.22/2,528.54 = 711.78/x
  3. Step 3: Cross multiply
    1,686.22x = 2,528.54 × 711.78
  4. Step 4: Simplify right side
    1,686.22x = 1,799,764.20
  5. Step 5: Solve for x
    x = 1,799,764.20/1,686.22
  6. Step 6: Final answer
    x = 1,067.34

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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.