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Finding the Fourth Proportional to 437.75, 654.66 and 389.31

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Solution

The fourth proportional to 437.75, 654.66 and 389.31 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 654.66 = 389.31 : x
  2. Step 2: Convert to fraction form
    437.75/654.66 = 389.31/x
  3. Step 3: Cross multiply
    437.75x = 654.66 × 389.31
  4. Step 4: Simplify right side
    437.75x = 254,863.23
  5. Step 5: Solve for x
    x = 254,863.23/437.75
  6. Step 6: Final answer
    x = 582.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.