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Finding the Fourth Proportional to 547.28, 820.50 and 373.52

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Solution

The fourth proportional to 547.28, 820.50 and 373.52 is: 559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 820.50 = 373.52 : x
  2. Step 2: Convert to fraction form
    547.28/820.50 = 373.52/x
  3. Step 3: Cross multiply
    547.28x = 820.50 × 373.52
  4. Step 4: Simplify right side
    547.28x = 306,469.06
  5. Step 5: Solve for x
    x = 306,469.06/547.28
  6. Step 6: Final answer
    x = 559.99

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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.