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Finding the Fourth Proportional to 1,246.04, 1,868.41 and 661.37

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Solution

The fourth proportional to 1,246.04, 1,868.41 and 661.37 is: 991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.04 : 1,868.41 = 661.37 : x
  2. Step 2: Convert to fraction form
    1,246.04/1,868.41 = 661.37/x
  3. Step 3: Cross multiply
    1,246.04x = 1,868.41 × 661.37
  4. Step 4: Simplify right side
    1,246.04x = 1,235,707.01
  5. Step 5: Solve for x
    x = 1,235,707.01/1,246.04
  6. Step 6: Final answer
    x = 991.71

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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.