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Finding the Fourth Proportional to 1,079.52, 1,611.84 and 925.20

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Solution

The fourth proportional to 1,079.52, 1,611.84 and 925.20 is: 1,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,611.84 = 925.20 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,611.84 = 925.20/x
  3. Step 3: Cross multiply
    1,079.52x = 1,611.84 × 925.20
  4. Step 4: Simplify right side
    1,079.52x = 1,491,274.37
  5. Step 5: Solve for x
    x = 1,491,274.37/1,079.52
  6. Step 6: Final answer
    x = 1,381.42

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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.