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Finding the Fourth Proportional to 496.48, 739.84 and 464.08

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Solution

The fourth proportional to 496.48, 739.84 and 464.08 is: 691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 739.84 = 464.08 : x
  2. Step 2: Convert to fraction form
    496.48/739.84 = 464.08/x
  3. Step 3: Cross multiply
    496.48x = 739.84 × 464.08
  4. Step 4: Simplify right side
    496.48x = 343,344.95
  5. Step 5: Solve for x
    x = 343,344.95/496.48
  6. Step 6: Final answer
    x = 691.56

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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.