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Finding the Fourth Proportional to 438.82, 601.65 and 431.08

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Solution

The fourth proportional to 438.82, 601.65 and 431.08 is: 591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 601.65 = 431.08 : x
  2. Step 2: Convert to fraction form
    438.82/601.65 = 431.08/x
  3. Step 3: Cross multiply
    438.82x = 601.65 × 431.08
  4. Step 4: Simplify right side
    438.82x = 259,359.41
  5. Step 5: Solve for x
    x = 259,359.41/438.82
  6. Step 6: Final answer
    x = 591.03

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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.