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Finding the Fourth Proportional to 443.93, 662.65 and 411.81

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Solution

The fourth proportional to 443.93, 662.65 and 411.81 is: 614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.93 : 662.65 = 411.81 : x
  2. Step 2: Convert to fraction form
    443.93/662.65 = 411.81/x
  3. Step 3: Cross multiply
    443.93x = 662.65 × 411.81
  4. Step 4: Simplify right side
    443.93x = 272,885.90
  5. Step 5: Solve for x
    x = 272,885.90/443.93
  6. Step 6: Final answer
    x = 614.70

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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.