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Finding the Fourth Proportional to 1,252.96, 1,729.29 and 859.66

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Solution

The fourth proportional to 1,252.96, 1,729.29 and 859.66 is: 1,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.96 : 1,729.29 = 859.66 : x
  2. Step 2: Convert to fraction form
    1,252.96/1,729.29 = 859.66/x
  3. Step 3: Cross multiply
    1,252.96x = 1,729.29 × 859.66
  4. Step 4: Simplify right side
    1,252.96x = 1,486,601.44
  5. Step 5: Solve for x
    x = 1,486,601.44/1,252.96
  6. Step 6: Final answer
    x = 1,186.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.