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Finding the Fourth Proportional to 1,661.64, 2,493.98 and 840.49

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Solution

The fourth proportional to 1,661.64, 2,493.98 and 840.49 is: 1,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.64 : 2,493.98 = 840.49 : x
  2. Step 2: Convert to fraction form
    1,661.64/2,493.98 = 840.49/x
  3. Step 3: Cross multiply
    1,661.64x = 2,493.98 × 840.49
  4. Step 4: Simplify right side
    1,661.64x = 2,096,165.25
  5. Step 5: Solve for x
    x = 2,096,165.25/1,661.64
  6. Step 6: Final answer
    x = 1,261.50

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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.