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Finding the Fourth Proportional to 547, 824.67 and 517

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Solution

The fourth proportional to 547, 824.67 and 517 is: 779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547 : 824.67 = 517 : x
  2. Step 2: Convert to fraction form
    547/824.67 = 517/x
  3. Step 3: Cross multiply
    547x = 824.67 × 517
  4. Step 4: Simplify right side
    547x = 426,354.39
  5. Step 5: Solve for x
    x = 426,354.39/547
  6. Step 6: Final answer
    x = 779.44

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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.