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Finding the Fourth Proportional to 1,245.43, 1,867.99 and 514.91

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Solution

The fourth proportional to 1,245.43, 1,867.99 and 514.91 is: 772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.43 : 1,867.99 = 514.91 : x
  2. Step 2: Convert to fraction form
    1,245.43/1,867.99 = 514.91/x
  3. Step 3: Cross multiply
    1,245.43x = 1,867.99 × 514.91
  4. Step 4: Simplify right side
    1,245.43x = 961,846.73
  5. Step 5: Solve for x
    x = 961,846.73/1,245.43
  6. Step 6: Final answer
    x = 772.30

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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.