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Finding the Fourth Proportional to 824.92, 1,237.33 and 208.59

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Solution

The fourth proportional to 824.92, 1,237.33 and 208.59 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.92 : 1,237.33 = 208.59 : x
  2. Step 2: Convert to fraction form
    824.92/1,237.33 = 208.59/x
  3. Step 3: Cross multiply
    824.92x = 1,237.33 × 208.59
  4. Step 4: Simplify right side
    824.92x = 258,094.66
  5. Step 5: Solve for x
    x = 258,094.66/824.92
  6. Step 6: Final answer
    x = 312.87

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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.