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Finding the Fourth Proportional to 484.36, 722.45 and 411.40

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Solution

The fourth proportional to 484.36, 722.45 and 411.40 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 722.45 = 411.40 : x
  2. Step 2: Convert to fraction form
    484.36/722.45 = 411.40/x
  3. Step 3: Cross multiply
    484.36x = 722.45 × 411.40
  4. Step 4: Simplify right side
    484.36x = 297,215.93
  5. Step 5: Solve for x
    x = 297,215.93/484.36
  6. Step 6: Final answer
    x = 613.63

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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.