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Finding the Fourth Proportional to 503.92, 754.12 and 308.83

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Solution

The fourth proportional to 503.92, 754.12 and 308.83 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 754.12 = 308.83 : x
  2. Step 2: Convert to fraction form
    503.92/754.12 = 308.83/x
  3. Step 3: Cross multiply
    503.92x = 754.12 × 308.83
  4. Step 4: Simplify right side
    503.92x = 232,894.88
  5. Step 5: Solve for x
    x = 232,894.88/503.92
  6. Step 6: Final answer
    x = 462.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.