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Finding the Fourth Proportional to 547.24, 824.05 and 403.96

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Solution

The fourth proportional to 547.24, 824.05 and 403.96 is: 608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 824.05 = 403.96 : x
  2. Step 2: Convert to fraction form
    547.24/824.05 = 403.96/x
  3. Step 3: Cross multiply
    547.24x = 824.05 × 403.96
  4. Step 4: Simplify right side
    547.24x = 332,883.24
  5. Step 5: Solve for x
    x = 332,883.24/547.24
  6. Step 6: Final answer
    x = 608.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.