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Finding the Fourth Proportional to 1,542.62, 2,313.88 and 388.36

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Solution

The fourth proportional to 1,542.62, 2,313.88 and 388.36 is: 582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.62 : 2,313.88 = 388.36 : x
  2. Step 2: Convert to fraction form
    1,542.62/2,313.88 = 388.36/x
  3. Step 3: Cross multiply
    1,542.62x = 2,313.88 × 388.36
  4. Step 4: Simplify right side
    1,542.62x = 898,618.44
  5. Step 5: Solve for x
    x = 898,618.44/1,542.62
  6. Step 6: Final answer
    x = 582.53

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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.