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Finding the Fourth Proportional to 2,331.84, 3,497.37 and 665.79

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Solution

The fourth proportional to 2,331.84, 3,497.37 and 665.79 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,497.37 = 665.79 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,497.37 = 665.79/x
  3. Step 3: Cross multiply
    2,331.84x = 3,497.37 × 665.79
  4. Step 4: Simplify right side
    2,331.84x = 2,328,513.97
  5. Step 5: Solve for x
    x = 2,328,513.97/2,331.84
  6. Step 6: Final answer
    x = 998.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.