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Finding the Fourth Proportional to 824.91, 1,237.43 and 386.02

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Solution

The fourth proportional to 824.91, 1,237.43 and 386.02 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.91 : 1,237.43 = 386.02 : x
  2. Step 2: Convert to fraction form
    824.91/1,237.43 = 386.02/x
  3. Step 3: Cross multiply
    824.91x = 1,237.43 × 386.02
  4. Step 4: Simplify right side
    824.91x = 477,672.73
  5. Step 5: Solve for x
    x = 477,672.73/824.91
  6. Step 6: Final answer
    x = 579.06

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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.