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Finding the Fourth Proportional to 822.29, 1,225.18 and 800.25

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Solution

The fourth proportional to 822.29, 1,225.18 and 800.25 is: 1,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,225.18 = 800.25 : x
  2. Step 2: Convert to fraction form
    822.29/1,225.18 = 800.25/x
  3. Step 3: Cross multiply
    822.29x = 1,225.18 × 800.25
  4. Step 4: Simplify right side
    822.29x = 980,446.70
  5. Step 5: Solve for x
    x = 980,446.70/822.29
  6. Step 6: Final answer
    x = 1,192.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.