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Finding the Fourth Proportional to 1,278.48, 1,917.72 and 388.88

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Solution

The fourth proportional to 1,278.48, 1,917.72 and 388.88 is: 583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.48 : 1,917.72 = 388.88 : x
  2. Step 2: Convert to fraction form
    1,278.48/1,917.72 = 388.88/x
  3. Step 3: Cross multiply
    1,278.48x = 1,917.72 × 388.88
  4. Step 4: Simplify right side
    1,278.48x = 745,762.95
  5. Step 5: Solve for x
    x = 745,762.95/1,278.48
  6. Step 6: Final answer
    x = 583.32

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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.