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Finding the Fourth Proportional to 1,254.27, 1,881.60 and 388.38

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Solution

The fourth proportional to 1,254.27, 1,881.60 and 388.38 is: 582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.27 : 1,881.60 = 388.38 : x
  2. Step 2: Convert to fraction form
    1,254.27/1,881.60 = 388.38/x
  3. Step 3: Cross multiply
    1,254.27x = 1,881.60 × 388.38
  4. Step 4: Simplify right side
    1,254.27x = 730,775.81
  5. Step 5: Solve for x
    x = 730,775.81/1,254.27
  6. Step 6: Final answer
    x = 582.63

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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.