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Finding the Fourth Proportional to 1,247.97, 1,868.45 and 661.64

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Solution

The fourth proportional to 1,247.97, 1,868.45 and 661.64 is: 990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.97 : 1,868.45 = 661.64 : x
  2. Step 2: Convert to fraction form
    1,247.97/1,868.45 = 661.64/x
  3. Step 3: Cross multiply
    1,247.97x = 1,868.45 × 661.64
  4. Step 4: Simplify right side
    1,247.97x = 1,236,241.26
  5. Step 5: Solve for x
    x = 1,236,241.26/1,247.97
  6. Step 6: Final answer
    x = 990.60

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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.