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Finding the Fourth Proportional to 859.84, 1,185.84 and 694.24

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Solution

The fourth proportional to 859.84, 1,185.84 and 694.24 is: 957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.84 : 1,185.84 = 694.24 : x
  2. Step 2: Convert to fraction form
    859.84/1,185.84 = 694.24/x
  3. Step 3: Cross multiply
    859.84x = 1,185.84 × 694.24
  4. Step 4: Simplify right side
    859.84x = 823,257.56
  5. Step 5: Solve for x
    x = 823,257.56/859.84
  6. Step 6: Final answer
    x = 957.45

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1.5x scale

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.