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Finding the Fourth Proportional to 439.09, 657.54 and 431.57

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Solution

The fourth proportional to 439.09, 657.54 and 431.57 is: 646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.09 : 657.54 = 431.57 : x
  2. Step 2: Convert to fraction form
    439.09/657.54 = 431.57/x
  3. Step 3: Cross multiply
    439.09x = 657.54 × 431.57
  4. Step 4: Simplify right side
    439.09x = 283,776.18
  5. Step 5: Solve for x
    x = 283,776.18/439.09
  6. Step 6: Final answer
    x = 646.29

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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.