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Finding the Fourth Proportional to 988.12, 1,363.74 and 822.06

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Solution

The fourth proportional to 988.12, 1,363.74 and 822.06 is: 1,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.12 : 1,363.74 = 822.06 : x
  2. Step 2: Convert to fraction form
    988.12/1,363.74 = 822.06/x
  3. Step 3: Cross multiply
    988.12x = 1,363.74 × 822.06
  4. Step 4: Simplify right side
    988.12x = 1,121,076.10
  5. Step 5: Solve for x
    x = 1,121,076.10/988.12
  6. Step 6: Final answer
    x = 1,134.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.