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Finding the Fourth Proportional to 439.27, 602.25 and 431.47

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Solution

The fourth proportional to 439.27, 602.25 and 431.47 is: 591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.27 : 602.25 = 431.47 : x
  2. Step 2: Convert to fraction form
    439.27/602.25 = 431.47/x
  3. Step 3: Cross multiply
    439.27x = 602.25 × 431.47
  4. Step 4: Simplify right side
    439.27x = 259,852.81
  5. Step 5: Solve for x
    x = 259,852.81/439.27
  6. Step 6: Final answer
    x = 591.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.