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Finding the Fourth Proportional to 437.28, 606.66 and 421.44

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Solution

The fourth proportional to 437.28, 606.66 and 421.44 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.28 : 606.66 = 421.44 : x
  2. Step 2: Convert to fraction form
    437.28/606.66 = 421.44/x
  3. Step 3: Cross multiply
    437.28x = 606.66 × 421.44
  4. Step 4: Simplify right side
    437.28x = 255,670.79
  5. Step 5: Solve for x
    x = 255,670.79/437.28
  6. Step 6: Final answer
    x = 584.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.