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Finding the Fourth Proportional to 1,219.47, 1,831.02 and 1,055.44

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Solution

The fourth proportional to 1,219.47, 1,831.02 and 1,055.44 is: 1,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.47 : 1,831.02 = 1,055.44 : x
  2. Step 2: Convert to fraction form
    1,219.47/1,831.02 = 1,055.44/x
  3. Step 3: Cross multiply
    1,219.47x = 1,831.02 × 1,055.44
  4. Step 4: Simplify right side
    1,219.47x = 1,932,531.75
  5. Step 5: Solve for x
    x = 1,932,531.75/1,219.47
  6. Step 6: Final answer
    x = 1,584.74

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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.