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Finding the Fourth Proportional to 522.44, 721.14 and 347.76

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Solution

The fourth proportional to 522.44, 721.14 and 347.76 is: 480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.44 : 721.14 = 347.76 : x
  2. Step 2: Convert to fraction form
    522.44/721.14 = 347.76/x
  3. Step 3: Cross multiply
    522.44x = 721.14 × 347.76
  4. Step 4: Simplify right side
    522.44x = 250,783.65
  5. Step 5: Solve for x
    x = 250,783.65/522.44
  6. Step 6: Final answer
    x = 480.02

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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.