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Finding the Fourth Proportional to 496.99, 748.78 and 467.20

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Solution

The fourth proportional to 496.99, 748.78 and 467.20 is: 703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.99 : 748.78 = 467.20 : x
  2. Step 2: Convert to fraction form
    496.99/748.78 = 467.20/x
  3. Step 3: Cross multiply
    496.99x = 748.78 × 467.20
  4. Step 4: Simplify right side
    496.99x = 349,830.02
  5. Step 5: Solve for x
    x = 349,830.02/496.99
  6. Step 6: Final answer
    x = 703.90

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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.