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Finding the Fourth Proportional to 808.22, 1,211.78 and 375.14

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Solution

The fourth proportional to 808.22, 1,211.78 and 375.14 is: 562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.22 : 1,211.78 = 375.14 : x
  2. Step 2: Convert to fraction form
    808.22/1,211.78 = 375.14/x
  3. Step 3: Cross multiply
    808.22x = 1,211.78 × 375.14
  4. Step 4: Simplify right side
    808.22x = 454,579.21
  5. Step 5: Solve for x
    x = 454,579.21/808.22
  6. Step 6: Final answer
    x = 562.45

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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.