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Finding the Fourth Proportional to 439.26, 657.59 and 284.75

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Solution

The fourth proportional to 439.26, 657.59 and 284.75 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.26 : 657.59 = 284.75 : x
  2. Step 2: Convert to fraction form
    439.26/657.59 = 284.75/x
  3. Step 3: Cross multiply
    439.26x = 657.59 × 284.75
  4. Step 4: Simplify right side
    439.26x = 187,246.51
  5. Step 5: Solve for x
    x = 187,246.51/439.26
  6. Step 6: Final answer
    x = 426.28

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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.