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Finding the Fourth Proportional to 1,009.64, 1,514.23 and 279.28

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Solution

The fourth proportional to 1,009.64, 1,514.23 and 279.28 is: 418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.64 : 1,514.23 = 279.28 : x
  2. Step 2: Convert to fraction form
    1,009.64/1,514.23 = 279.28/x
  3. Step 3: Cross multiply
    1,009.64x = 1,514.23 × 279.28
  4. Step 4: Simplify right side
    1,009.64x = 422,889.67
  5. Step 5: Solve for x
    x = 422,889.67/1,009.64
  6. Step 6: Final answer
    x = 418.85

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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.