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Finding the Fourth Proportional to 1,009.39, 1,514.07 and 278.95

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Solution

The fourth proportional to 1,009.39, 1,514.07 and 278.95 is: 418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.39 : 1,514.07 = 278.95 : x
  2. Step 2: Convert to fraction form
    1,009.39/1,514.07 = 278.95/x
  3. Step 3: Cross multiply
    1,009.39x = 1,514.07 × 278.95
  4. Step 4: Simplify right side
    1,009.39x = 422,349.83
  5. Step 5: Solve for x
    x = 422,349.83/1,009.39
  6. Step 6: Final answer
    x = 418.42

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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.