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Finding the Fourth Proportional to 490.64, 739.56 and 462.42

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Solution

The fourth proportional to 490.64, 739.56 and 462.42 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.64 : 739.56 = 462.42 : x
  2. Step 2: Convert to fraction form
    490.64/739.56 = 462.42/x
  3. Step 3: Cross multiply
    490.64x = 739.56 × 462.42
  4. Step 4: Simplify right side
    490.64x = 341,987.34
  5. Step 5: Solve for x
    x = 341,987.34/490.64
  6. Step 6: Final answer
    x = 697.02

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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.