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Finding the Fourth Proportional to 439.77, 657.71 and 391.37

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Solution

The fourth proportional to 439.77, 657.71 and 391.37 is: 585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.77 : 657.71 = 391.37 : x
  2. Step 2: Convert to fraction form
    439.77/657.71 = 391.37/x
  3. Step 3: Cross multiply
    439.77x = 657.71 × 391.37
  4. Step 4: Simplify right side
    439.77x = 257,404.67
  5. Step 5: Solve for x
    x = 257,404.67/439.77
  6. Step 6: Final answer
    x = 585.32

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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.