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Finding the Fourth Proportional to 587.92, 811.36 and 339.24

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Solution

The fourth proportional to 587.92, 811.36 and 339.24 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.92 : 811.36 = 339.24 : x
  2. Step 2: Convert to fraction form
    587.92/811.36 = 339.24/x
  3. Step 3: Cross multiply
    587.92x = 811.36 × 339.24
  4. Step 4: Simplify right side
    587.92x = 275,245.77
  5. Step 5: Solve for x
    x = 275,245.77/587.92
  6. Step 6: Final answer
    x = 468.17

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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.