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Finding the Fourth Proportional to 1,648.21, 2,472.81 and 661.02

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Solution

The fourth proportional to 1,648.21, 2,472.81 and 661.02 is: 991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.21 : 2,472.81 = 661.02 : x
  2. Step 2: Convert to fraction form
    1,648.21/2,472.81 = 661.02/x
  3. Step 3: Cross multiply
    1,648.21x = 2,472.81 × 661.02
  4. Step 4: Simplify right side
    1,648.21x = 1,634,576.87
  5. Step 5: Solve for x
    x = 1,634,576.87/1,648.21
  6. Step 6: Final answer
    x = 991.73

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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.