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Finding the Fourth Proportional to 988.11, 1,357.11 and 822.06

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Solution

The fourth proportional to 988.11, 1,357.11 and 822.06 is: 1,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.11 : 1,357.11 = 822.06 : x
  2. Step 2: Convert to fraction form
    988.11/1,357.11 = 822.06/x
  3. Step 3: Cross multiply
    988.11x = 1,357.11 × 822.06
  4. Step 4: Simplify right side
    988.11x = 1,115,625.85
  5. Step 5: Solve for x
    x = 1,115,625.85/988.11
  6. Step 6: Final answer
    x = 1,129.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.