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Finding the Fourth Proportional to 438.30, 604.40 and 428.27

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Solution

The fourth proportional to 438.30, 604.40 and 428.27 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 604.40 = 428.27 : x
  2. Step 2: Convert to fraction form
    438.30/604.40 = 428.27/x
  3. Step 3: Cross multiply
    438.30x = 604.40 × 428.27
  4. Step 4: Simplify right side
    438.30x = 258,841.22
  5. Step 5: Solve for x
    x = 258,841.22/438.30
  6. Step 6: Final answer
    x = 590.56

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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.