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Finding the Fourth Proportional to 547.99, 755.28 and 442.69

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Solution

The fourth proportional to 547.99, 755.28 and 442.69 is: 610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.99 : 755.28 = 442.69 : x
  2. Step 2: Convert to fraction form
    547.99/755.28 = 442.69/x
  3. Step 3: Cross multiply
    547.99x = 755.28 × 442.69
  4. Step 4: Simplify right side
    547.99x = 334,353.02
  5. Step 5: Solve for x
    x = 334,353.02/547.99
  6. Step 6: Final answer
    x = 610.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.