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Finding the Fourth Proportional to 484.40, 723.11 and 411.48

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Solution

The fourth proportional to 484.40, 723.11 and 411.48 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.40 : 723.11 = 411.48 : x
  2. Step 2: Convert to fraction form
    484.40/723.11 = 411.48/x
  3. Step 3: Cross multiply
    484.40x = 723.11 × 411.48
  4. Step 4: Simplify right side
    484.40x = 297,545.30
  5. Step 5: Solve for x
    x = 297,545.30/484.40
  6. Step 6: Final answer
    x = 614.26

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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.