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Finding the Fourth Proportional to 588.13, 811.65 and 326.14

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Solution

The fourth proportional to 588.13, 811.65 and 326.14 is: 450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.13 : 811.65 = 326.14 : x
  2. Step 2: Convert to fraction form
    588.13/811.65 = 326.14/x
  3. Step 3: Cross multiply
    588.13x = 811.65 × 326.14
  4. Step 4: Simplify right side
    588.13x = 264,711.53
  5. Step 5: Solve for x
    x = 264,711.53/588.13
  6. Step 6: Final answer
    x = 450.09

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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.