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Finding the Fourth Proportional to 1,087.65, 1,499.94 and 693.99

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Solution

The fourth proportional to 1,087.65, 1,499.94 and 693.99 is: 957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.65 : 1,499.94 = 693.99 : x
  2. Step 2: Convert to fraction form
    1,087.65/1,499.94 = 693.99/x
  3. Step 3: Cross multiply
    1,087.65x = 1,499.94 × 693.99
  4. Step 4: Simplify right side
    1,087.65x = 1,040,943.36
  5. Step 5: Solve for x
    x = 1,040,943.36/1,087.65
  6. Step 6: Final answer
    x = 957.06

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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.