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Finding the Fourth Proportional to 989.11, 1,365.71 and 694.77

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Solution

The fourth proportional to 989.11, 1,365.71 and 694.77 is: 959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.11 : 1,365.71 = 694.77 : x
  2. Step 2: Convert to fraction form
    989.11/1,365.71 = 694.77/x
  3. Step 3: Cross multiply
    989.11x = 1,365.71 × 694.77
  4. Step 4: Simplify right side
    989.11x = 948,854.34
  5. Step 5: Solve for x
    x = 948,854.34/989.11
  6. Step 6: Final answer
    x = 959.30

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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.