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Finding the Fourth Proportional to 1,253.52, 1,880.78 and 387.90

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Solution

The fourth proportional to 1,253.52, 1,880.78 and 387.90 is: 582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.52 : 1,880.78 = 387.90 : x
  2. Step 2: Convert to fraction form
    1,253.52/1,880.78 = 387.90/x
  3. Step 3: Cross multiply
    1,253.52x = 1,880.78 × 387.90
  4. Step 4: Simplify right side
    1,253.52x = 729,552.62
  5. Step 5: Solve for x
    x = 729,552.62/1,253.52
  6. Step 6: Final answer
    x = 582.00

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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.