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Finding the Fourth Proportional to 920.11, 1,269.87 and 698.68

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Solution

The fourth proportional to 920.11, 1,269.87 and 698.68 is: 964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.11 : 1,269.87 = 698.68 : x
  2. Step 2: Convert to fraction form
    920.11/1,269.87 = 698.68/x
  3. Step 3: Cross multiply
    920.11x = 1,269.87 × 698.68
  4. Step 4: Simplify right side
    920.11x = 887,232.77
  5. Step 5: Solve for x
    x = 887,232.77/920.11
  6. Step 6: Final answer
    x = 964.27

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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.