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Finding the Fourth Proportional to 1,661.28, 2,491.92 and 621.78

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Solution

The fourth proportional to 1,661.28, 2,491.92 and 621.78 is: 932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.28 : 2,491.92 = 621.78 : x
  2. Step 2: Convert to fraction form
    1,661.28/2,491.92 = 621.78/x
  3. Step 3: Cross multiply
    1,661.28x = 2,491.92 × 621.78
  4. Step 4: Simplify right side
    1,661.28x = 1,549,426.02
  5. Step 5: Solve for x
    x = 1,549,426.02/1,661.28
  6. Step 6: Final answer
    x = 932.67

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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.