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Finding the Fourth Proportional to 440.51, 658.11 and 411.68

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Solution

The fourth proportional to 440.51, 658.11 and 411.68 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.51 : 658.11 = 411.68 : x
  2. Step 2: Convert to fraction form
    440.51/658.11 = 411.68/x
  3. Step 3: Cross multiply
    440.51x = 658.11 × 411.68
  4. Step 4: Simplify right side
    440.51x = 270,931.60
  5. Step 5: Solve for x
    x = 270,931.60/440.51
  6. Step 6: Final answer
    x = 615.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.