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Finding the Fourth Proportional to 494.89, 742.03 and 462.69

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Solution

The fourth proportional to 494.89, 742.03 and 462.69 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.89 : 742.03 = 462.69 : x
  2. Step 2: Convert to fraction form
    494.89/742.03 = 462.69/x
  3. Step 3: Cross multiply
    494.89x = 742.03 × 462.69
  4. Step 4: Simplify right side
    494.89x = 343,328.70
  5. Step 5: Solve for x
    x = 343,328.70/494.89
  6. Step 6: Final answer
    x = 693.75

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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.