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Finding the Fourth Proportional to 588.01, 811.55 and 339.29

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Solution

The fourth proportional to 588.01, 811.55 and 339.29 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 811.55 = 339.29 : x
  2. Step 2: Convert to fraction form
    588.01/811.55 = 339.29/x
  3. Step 3: Cross multiply
    588.01x = 811.55 × 339.29
  4. Step 4: Simplify right side
    588.01x = 275,353.30
  5. Step 5: Solve for x
    x = 275,353.30/588.01
  6. Step 6: Final answer
    x = 468.28

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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.