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Finding the Fourth Proportional to 523.46, 722.37 and 287.40

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Solution

The fourth proportional to 523.46, 722.37 and 287.40 is: 396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.46 : 722.37 = 287.40 : x
  2. Step 2: Convert to fraction form
    523.46/722.37 = 287.40/x
  3. Step 3: Cross multiply
    523.46x = 722.37 × 287.40
  4. Step 4: Simplify right side
    523.46x = 207,609.14
  5. Step 5: Solve for x
    x = 207,609.14/523.46
  6. Step 6: Final answer
    x = 396.61

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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.