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Finding the Fourth Proportional to 1,079.42, 1,611.81 and 857.55

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Solution

The fourth proportional to 1,079.42, 1,611.81 and 857.55 is: 1,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.42 : 1,611.81 = 857.55 : x
  2. Step 2: Convert to fraction form
    1,079.42/1,611.81 = 857.55/x
  3. Step 3: Cross multiply
    1,079.42x = 1,611.81 × 857.55
  4. Step 4: Simplify right side
    1,079.42x = 1,382,207.67
  5. Step 5: Solve for x
    x = 1,382,207.67/1,079.42
  6. Step 6: Final answer
    x = 1,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.