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Finding the Fourth Proportional to 588.29, 811.67 and 411.05

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Solution

The fourth proportional to 588.29, 811.67 and 411.05 is: 567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.29 : 811.67 = 411.05 : x
  2. Step 2: Convert to fraction form
    588.29/811.67 = 411.05/x
  3. Step 3: Cross multiply
    588.29x = 811.67 × 411.05
  4. Step 4: Simplify right side
    588.29x = 333,630.84
  5. Step 5: Solve for x
    x = 333,630.84/588.29
  6. Step 6: Final answer
    x = 567.12

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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.