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Finding the Fourth Proportional to 439.57, 598.69 and 438.22

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Solution

The fourth proportional to 439.57, 598.69 and 438.22 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.57 : 598.69 = 438.22 : x
  2. Step 2: Convert to fraction form
    439.57/598.69 = 438.22/x
  3. Step 3: Cross multiply
    439.57x = 598.69 × 438.22
  4. Step 4: Simplify right side
    439.57x = 262,357.93
  5. Step 5: Solve for x
    x = 262,357.93/439.57
  6. Step 6: Final answer
    x = 596.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.