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Finding the Fourth Proportional to 585.83, 879.29 and 449.21

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Solution

The fourth proportional to 585.83, 879.29 and 449.21 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 879.29 = 449.21 : x
  2. Step 2: Convert to fraction form
    585.83/879.29 = 449.21/x
  3. Step 3: Cross multiply
    585.83x = 879.29 × 449.21
  4. Step 4: Simplify right side
    585.83x = 394,985.86
  5. Step 5: Solve for x
    x = 394,985.86/585.83
  6. Step 6: Final answer
    x = 674.23

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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.