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Finding the Fourth Proportional to 496.07, 742.76 and 394.01

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Solution

The fourth proportional to 496.07, 742.76 and 394.01 is: 589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.07 : 742.76 = 394.01 : x
  2. Step 2: Convert to fraction form
    496.07/742.76 = 394.01/x
  3. Step 3: Cross multiply
    496.07x = 742.76 × 394.01
  4. Step 4: Simplify right side
    496.07x = 292,652.90
  5. Step 5: Solve for x
    x = 292,652.90/496.07
  6. Step 6: Final answer
    x = 589.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.