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Finding the Fourth Proportional to 523.85, 722.68 and 366.50

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Solution

The fourth proportional to 523.85, 722.68 and 366.50 is: 505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 722.68 = 366.50 : x
  2. Step 2: Convert to fraction form
    523.85/722.68 = 366.50/x
  3. Step 3: Cross multiply
    523.85x = 722.68 × 366.50
  4. Step 4: Simplify right side
    523.85x = 264,863.11
  5. Step 5: Solve for x
    x = 264,863.11/523.85
  6. Step 6: Final answer
    x = 505.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.