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Finding the Fourth Proportional to 824.95, 1,236.67 and 304.83

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Solution

The fourth proportional to 824.95, 1,236.67 and 304.83 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,236.67 = 304.83 : x
  2. Step 2: Convert to fraction form
    824.95/1,236.67 = 304.83/x
  3. Step 3: Cross multiply
    824.95x = 1,236.67 × 304.83
  4. Step 4: Simplify right side
    824.95x = 376,973.35
  5. Step 5: Solve for x
    x = 376,973.35/824.95
  6. Step 6: Final answer
    x = 456.96

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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.