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Finding the Fourth Proportional to 807.99, 1,212.43 and 375.15

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Solution

The fourth proportional to 807.99, 1,212.43 and 375.15 is: 562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.99 : 1,212.43 = 375.15 : x
  2. Step 2: Convert to fraction form
    807.99/1,212.43 = 375.15/x
  3. Step 3: Cross multiply
    807.99x = 1,212.43 × 375.15
  4. Step 4: Simplify right side
    807.99x = 454,843.11
  5. Step 5: Solve for x
    x = 454,843.11/807.99
  6. Step 6: Final answer
    x = 562.93

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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.