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Finding the Fourth Proportional to 439.48, 657.60 and 394.53

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Solution

The fourth proportional to 439.48, 657.60 and 394.53 is: 590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.48 : 657.60 = 394.53 : x
  2. Step 2: Convert to fraction form
    439.48/657.60 = 394.53/x
  3. Step 3: Cross multiply
    439.48x = 657.60 × 394.53
  4. Step 4: Simplify right side
    439.48x = 259,442.93
  5. Step 5: Solve for x
    x = 259,442.93/439.48
  6. Step 6: Final answer
    x = 590.34

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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.