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Finding the Fourth Proportional to 440.26, 661.91 and 411.71

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Solution

The fourth proportional to 440.26, 661.91 and 411.71 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.26 : 661.91 = 411.71 : x
  2. Step 2: Convert to fraction form
    440.26/661.91 = 411.71/x
  3. Step 3: Cross multiply
    440.26x = 661.91 × 411.71
  4. Step 4: Simplify right side
    440.26x = 272,509.60
  5. Step 5: Solve for x
    x = 272,509.60/440.26
  6. Step 6: Final answer
    x = 618.98

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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.