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Finding the Fourth Proportional to 440.86, 662.32 and 379.35

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Solution

The fourth proportional to 440.86, 662.32 and 379.35 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.86 : 662.32 = 379.35 : x
  2. Step 2: Convert to fraction form
    440.86/662.32 = 379.35/x
  3. Step 3: Cross multiply
    440.86x = 662.32 × 379.35
  4. Step 4: Simplify right side
    440.86x = 251,249.20
  5. Step 5: Solve for x
    x = 251,249.20/440.86
  6. Step 6: Final answer
    x = 569.91

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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.