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Finding the Fourth Proportional to 1,040.92, 1,561.62 and 554.44

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Solution

The fourth proportional to 1,040.92, 1,561.62 and 554.44 is: 831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.92 : 1,561.62 = 554.44 : x
  2. Step 2: Convert to fraction form
    1,040.92/1,561.62 = 554.44/x
  3. Step 3: Cross multiply
    1,040.92x = 1,561.62 × 554.44
  4. Step 4: Simplify right side
    1,040.92x = 865,824.59
  5. Step 5: Solve for x
    x = 865,824.59/1,040.92
  6. Step 6: Final answer
    x = 831.79

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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.