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Finding the Fourth Proportional to 1,079.34, 1,497.41 and 1,040.46

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Solution

The fourth proportional to 1,079.34, 1,497.41 and 1,040.46 is: 1,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.34 : 1,497.41 = 1,040.46 : x
  2. Step 2: Convert to fraction form
    1,079.34/1,497.41 = 1,040.46/x
  3. Step 3: Cross multiply
    1,079.34x = 1,497.41 × 1,040.46
  4. Step 4: Simplify right side
    1,079.34x = 1,557,995.21
  5. Step 5: Solve for x
    x = 1,557,995.21/1,079.34
  6. Step 6: Final answer
    x = 1,443.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.