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Finding the Fourth Proportional to 1,087.27, 1,499.81 and 693.85

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Solution

The fourth proportional to 1,087.27, 1,499.81 and 693.85 is: 957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.27 : 1,499.81 = 693.85 : x
  2. Step 2: Convert to fraction form
    1,087.27/1,499.81 = 693.85/x
  3. Step 3: Cross multiply
    1,087.27x = 1,499.81 × 693.85
  4. Step 4: Simplify right side
    1,087.27x = 1,040,639.70
  5. Step 5: Solve for x
    x = 1,040,639.70/1,087.27
  6. Step 6: Final answer
    x = 957.11

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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.