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Finding the Fourth Proportional to 988.36, 1,363.18 and 882.11

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Solution

The fourth proportional to 988.36, 1,363.18 and 882.11 is: 1,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.36 : 1,363.18 = 882.11 : x
  2. Step 2: Convert to fraction form
    988.36/1,363.18 = 882.11/x
  3. Step 3: Cross multiply
    988.36x = 1,363.18 × 882.11
  4. Step 4: Simplify right side
    988.36x = 1,202,474.71
  5. Step 5: Solve for x
    x = 1,202,474.71/988.36
  6. Step 6: Final answer
    x = 1,216.64

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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.