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Finding the Fourth Proportional to 494.36, 742.29 and 402.15

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Solution

The fourth proportional to 494.36, 742.29 and 402.15 is: 603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.36 : 742.29 = 402.15 : x
  2. Step 2: Convert to fraction form
    494.36/742.29 = 402.15/x
  3. Step 3: Cross multiply
    494.36x = 742.29 × 402.15
  4. Step 4: Simplify right side
    494.36x = 298,511.92
  5. Step 5: Solve for x
    x = 298,511.92/494.36
  6. Step 6: Final answer
    x = 603.84

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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.