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Finding the Fourth Proportional to 587.86, 811.26 and 339.22

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Solution

The fourth proportional to 587.86, 811.26 and 339.22 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.86 : 811.26 = 339.22 : x
  2. Step 2: Convert to fraction form
    587.86/811.26 = 339.22/x
  3. Step 3: Cross multiply
    587.86x = 811.26 × 339.22
  4. Step 4: Simplify right side
    587.86x = 275,195.62
  5. Step 5: Solve for x
    x = 275,195.62/587.86
  6. Step 6: Final answer
    x = 468.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.