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Finding the Fourth Proportional to 822.85, 1,225.99 and 810.97

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Solution

The fourth proportional to 822.85, 1,225.99 and 810.97 is: 1,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.85 : 1,225.99 = 810.97 : x
  2. Step 2: Convert to fraction form
    822.85/1,225.99 = 810.97/x
  3. Step 3: Cross multiply
    822.85x = 1,225.99 × 810.97
  4. Step 4: Simplify right side
    822.85x = 994,243.14
  5. Step 5: Solve for x
    x = 994,243.14/822.85
  6. Step 6: Final answer
    x = 1,208.29

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1.5x scale

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.