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Finding the Fourth Proportional to 807.78, 1,210.86 and 396.30

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Solution

The fourth proportional to 807.78, 1,210.86 and 396.30 is: 594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.78 : 1,210.86 = 396.30 : x
  2. Step 2: Convert to fraction form
    807.78/1,210.86 = 396.30/x
  3. Step 3: Cross multiply
    807.78x = 1,210.86 × 396.30
  4. Step 4: Simplify right side
    807.78x = 479,863.82
  5. Step 5: Solve for x
    x = 479,863.82/807.78
  6. Step 6: Final answer
    x = 594.05

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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.