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Finding the Fourth Proportional to 1,009.31, 1,514.50 and 461.75

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Solution

The fourth proportional to 1,009.31, 1,514.50 and 461.75 is: 692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.31 : 1,514.50 = 461.75 : x
  2. Step 2: Convert to fraction form
    1,009.31/1,514.50 = 461.75/x
  3. Step 3: Cross multiply
    1,009.31x = 1,514.50 × 461.75
  4. Step 4: Simplify right side
    1,009.31x = 699,311.65
  5. Step 5: Solve for x
    x = 699,311.65/1,009.31
  6. Step 6: Final answer
    x = 692.86

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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.