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Finding the Fourth Proportional to 547.05, 824.76 and 540.93

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Solution

The fourth proportional to 547.05, 824.76 and 540.93 is: 815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 824.76 = 540.93 : x
  2. Step 2: Convert to fraction form
    547.05/824.76 = 540.93/x
  3. Step 3: Cross multiply
    547.05x = 824.76 × 540.93
  4. Step 4: Simplify right side
    547.05x = 446,137.43
  5. Step 5: Solve for x
    x = 446,137.43/547.05
  6. Step 6: Final answer
    x = 815.53

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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.