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Finding the Fourth Proportional to 555.78, 834.29 and 324.94

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Solution

The fourth proportional to 555.78, 834.29 and 324.94 is: 487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.78 : 834.29 = 324.94 : x
  2. Step 2: Convert to fraction form
    555.78/834.29 = 324.94/x
  3. Step 3: Cross multiply
    555.78x = 834.29 × 324.94
  4. Step 4: Simplify right side
    555.78x = 271,094.19
  5. Step 5: Solve for x
    x = 271,094.19/555.78
  6. Step 6: Final answer
    x = 487.77

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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.