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Finding the Fourth Proportional to 437.99, 654.32 and 282.65

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Solution

The fourth proportional to 437.99, 654.32 and 282.65 is: 422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.99 : 654.32 = 282.65 : x
  2. Step 2: Convert to fraction form
    437.99/654.32 = 282.65/x
  3. Step 3: Cross multiply
    437.99x = 654.32 × 282.65
  4. Step 4: Simplify right side
    437.99x = 184,940.98
  5. Step 5: Solve for x
    x = 184,940.98/437.99
  6. Step 6: Final answer
    x = 422.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.