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Finding the Fourth Proportional to 2,331.77, 3,497.58 and 688.37

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Solution

The fourth proportional to 2,331.77, 3,497.58 and 688.37 is: 1,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.77 : 3,497.58 = 688.37 : x
  2. Step 2: Convert to fraction form
    2,331.77/3,497.58 = 688.37/x
  3. Step 3: Cross multiply
    2,331.77x = 3,497.58 × 688.37
  4. Step 4: Simplify right side
    2,331.77x = 2,407,611.66
  5. Step 5: Solve for x
    x = 2,407,611.66/2,331.77
  6. Step 6: Final answer
    x = 1,032.53

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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.