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Finding the Fourth Proportional to 807.82, 1,211.91 and 564.46

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Solution

The fourth proportional to 807.82, 1,211.91 and 564.46 is: 846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.82 : 1,211.91 = 564.46 : x
  2. Step 2: Convert to fraction form
    807.82/1,211.91 = 564.46/x
  3. Step 3: Cross multiply
    807.82x = 1,211.91 × 564.46
  4. Step 4: Simplify right side
    807.82x = 684,074.72
  5. Step 5: Solve for x
    x = 684,074.72/807.82
  6. Step 6: Final answer
    x = 846.82

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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.