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Finding the Fourth Proportional to 807.21, 1,208.39 and 572.11

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Solution

The fourth proportional to 807.21, 1,208.39 and 572.11 is: 856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.21 : 1,208.39 = 572.11 : x
  2. Step 2: Convert to fraction form
    807.21/1,208.39 = 572.11/x
  3. Step 3: Cross multiply
    807.21x = 1,208.39 × 572.11
  4. Step 4: Simplify right side
    807.21x = 691,326.12
  5. Step 5: Solve for x
    x = 691,326.12/807.21
  6. Step 6: Final answer
    x = 856.44

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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.