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Finding the Fourth Proportional to 990.11, 1,364.72 and 694.87

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Solution

The fourth proportional to 990.11, 1,364.72 and 694.87 is: 957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.11 : 1,364.72 = 694.87 : x
  2. Step 2: Convert to fraction form
    990.11/1,364.72 = 694.87/x
  3. Step 3: Cross multiply
    990.11x = 1,364.72 × 694.87
  4. Step 4: Simplify right side
    990.11x = 948,296.10
  5. Step 5: Solve for x
    x = 948,296.10/990.11
  6. Step 6: Final answer
    x = 957.77

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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.