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Finding the Fourth Proportional to 807.87, 1,210.86 and 321.06

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Solution

The fourth proportional to 807.87, 1,210.86 and 321.06 is: 481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.87 : 1,210.86 = 321.06 : x
  2. Step 2: Convert to fraction form
    807.87/1,210.86 = 321.06/x
  3. Step 3: Cross multiply
    807.87x = 1,210.86 × 321.06
  4. Step 4: Simplify right side
    807.87x = 388,758.71
  5. Step 5: Solve for x
    x = 388,758.71/807.87
  6. Step 6: Final answer
    x = 481.21

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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.