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Finding the Fourth Proportional to 1,008.33, 1,512.48 and 277.91

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Solution

The fourth proportional to 1,008.33, 1,512.48 and 277.91 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.33 : 1,512.48 = 277.91 : x
  2. Step 2: Convert to fraction form
    1,008.33/1,512.48 = 277.91/x
  3. Step 3: Cross multiply
    1,008.33x = 1,512.48 × 277.91
  4. Step 4: Simplify right side
    1,008.33x = 420,333.32
  5. Step 5: Solve for x
    x = 420,333.32/1,008.33
  6. Step 6: Final answer
    x = 416.86

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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.