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Finding the Fourth Proportional to 807.87, 1,212.11 and 483.47

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Solution

The fourth proportional to 807.87, 1,212.11 and 483.47 is: 725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.87 : 1,212.11 = 483.47 : x
  2. Step 2: Convert to fraction form
    807.87/1,212.11 = 483.47/x
  3. Step 3: Cross multiply
    807.87x = 1,212.11 × 483.47
  4. Step 4: Simplify right side
    807.87x = 586,010.34
  5. Step 5: Solve for x
    x = 586,010.34/807.87
  6. Step 6: Final answer
    x = 725.38

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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.