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Finding the Fourth Proportional to 822.67, 1,222.90 and 798.10

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Solution

The fourth proportional to 822.67, 1,222.90 and 798.10 is: 1,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.67 : 1,222.90 = 798.10 : x
  2. Step 2: Convert to fraction form
    822.67/1,222.90 = 798.10/x
  3. Step 3: Cross multiply
    822.67x = 1,222.90 × 798.10
  4. Step 4: Simplify right side
    822.67x = 975,996.49
  5. Step 5: Solve for x
    x = 975,996.49/822.67
  6. Step 6: Final answer
    x = 1,186.38

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Double scale
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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.