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Finding the Fourth Proportional to 1,488.57, 2,231.49 and 514.44

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Solution

The fourth proportional to 1,488.57, 2,231.49 and 514.44 is: 771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.57 : 2,231.49 = 514.44 : x
  2. Step 2: Convert to fraction form
    1,488.57/2,231.49 = 514.44/x
  3. Step 3: Cross multiply
    1,488.57x = 2,231.49 × 514.44
  4. Step 4: Simplify right side
    1,488.57x = 1,147,967.72
  5. Step 5: Solve for x
    x = 1,147,967.72/1,488.57
  6. Step 6: Final answer
    x = 771.19

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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.