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Finding the Fourth Proportional to 822.12, 1,231.74 and 410.28

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Solution

The fourth proportional to 822.12, 1,231.74 and 410.28 is: 614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,231.74 = 410.28 : x
  2. Step 2: Convert to fraction form
    822.12/1,231.74 = 410.28/x
  3. Step 3: Cross multiply
    822.12x = 1,231.74 × 410.28
  4. Step 4: Simplify right side
    822.12x = 505,358.29
  5. Step 5: Solve for x
    x = 505,358.29/822.12
  6. Step 6: Final answer
    x = 614.70

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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.