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Finding the Fourth Proportional to 588.08, 810.72 and 366.88

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Solution

The fourth proportional to 588.08, 810.72 and 366.88 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.08 : 810.72 = 366.88 : x
  2. Step 2: Convert to fraction form
    588.08/810.72 = 366.88/x
  3. Step 3: Cross multiply
    588.08x = 810.72 × 366.88
  4. Step 4: Simplify right side
    588.08x = 297,436.95
  5. Step 5: Solve for x
    x = 297,436.95/588.08
  6. Step 6: Final answer
    x = 505.78

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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.