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Finding the Fourth Proportional to 439.39, 598.23 and 438.02

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Solution

The fourth proportional to 439.39, 598.23 and 438.02 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.39 : 598.23 = 438.02 : x
  2. Step 2: Convert to fraction form
    439.39/598.23 = 438.02/x
  3. Step 3: Cross multiply
    439.39x = 598.23 × 438.02
  4. Step 4: Simplify right side
    439.39x = 262,031.52
  5. Step 5: Solve for x
    x = 262,031.52/439.39
  6. Step 6: Final answer
    x = 596.36

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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.