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Finding the Fourth Proportional to 1,009.86, 1,514.78 and 279.43

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Solution

The fourth proportional to 1,009.86, 1,514.78 and 279.43 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.86 : 1,514.78 = 279.43 : x
  2. Step 2: Convert to fraction form
    1,009.86/1,514.78 = 279.43/x
  3. Step 3: Cross multiply
    1,009.86x = 1,514.78 × 279.43
  4. Step 4: Simplify right side
    1,009.86x = 423,274.98
  5. Step 5: Solve for x
    x = 423,274.98/1,009.86
  6. Step 6: Final answer
    x = 419.14

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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.