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Finding the Fourth Proportional to 547.06, 815.06 and 519.52

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Solution

The fourth proportional to 547.06, 815.06 and 519.52 is: 774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.06 : 815.06 = 519.52 : x
  2. Step 2: Convert to fraction form
    547.06/815.06 = 519.52/x
  3. Step 3: Cross multiply
    547.06x = 815.06 × 519.52
  4. Step 4: Simplify right side
    547.06x = 423,439.97
  5. Step 5: Solve for x
    x = 423,439.97/547.06
  6. Step 6: Final answer
    x = 774.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.