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Finding the Fourth Proportional to 588.67, 811.62 and 378.50

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Solution

The fourth proportional to 588.67, 811.62 and 378.50 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.67 : 811.62 = 378.50 : x
  2. Step 2: Convert to fraction form
    588.67/811.62 = 378.50/x
  3. Step 3: Cross multiply
    588.67x = 811.62 × 378.50
  4. Step 4: Simplify right side
    588.67x = 307,194.11
  5. Step 5: Solve for x
    x = 307,194.11/588.67
  6. Step 6: Final answer
    x = 521.85

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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.