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Finding the Fourth Proportional to 587.80, 811.14 and 339.13

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Solution

The fourth proportional to 587.80, 811.14 and 339.13 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 811.14 = 339.13 : x
  2. Step 2: Convert to fraction form
    587.80/811.14 = 339.13/x
  3. Step 3: Cross multiply
    587.80x = 811.14 × 339.13
  4. Step 4: Simplify right side
    587.80x = 275,081.91
  5. Step 5: Solve for x
    x = 275,081.91/587.80
  6. Step 6: Final answer
    x = 467.99

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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.