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Finding the Fourth Proportional to 496.21, 739.94 and 461.58

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Solution

The fourth proportional to 496.21, 739.94 and 461.58 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.21 : 739.94 = 461.58 : x
  2. Step 2: Convert to fraction form
    496.21/739.94 = 461.58/x
  3. Step 3: Cross multiply
    496.21x = 739.94 × 461.58
  4. Step 4: Simplify right side
    496.21x = 341,542.66
  5. Step 5: Solve for x
    x = 341,542.66/496.21
  6. Step 6: Final answer
    x = 688.30

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1.5x scale

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.