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Finding the Fourth Proportional to 588.30, 811.80 and 339.72

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Solution

The fourth proportional to 588.30, 811.80 and 339.72 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 811.80 = 339.72 : x
  2. Step 2: Convert to fraction form
    588.30/811.80 = 339.72/x
  3. Step 3: Cross multiply
    588.30x = 811.80 × 339.72
  4. Step 4: Simplify right side
    588.30x = 275,784.70
  5. Step 5: Solve for x
    x = 275,784.70/588.30
  6. Step 6: Final answer
    x = 468.78

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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.