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Finding the Fourth Proportional to 494.82, 742.86 and 312.98

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Solution

The fourth proportional to 494.82, 742.86 and 312.98 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 742.86 = 312.98 : x
  2. Step 2: Convert to fraction form
    494.82/742.86 = 312.98/x
  3. Step 3: Cross multiply
    494.82x = 742.86 × 312.98
  4. Step 4: Simplify right side
    494.82x = 232,496.61
  5. Step 5: Solve for x
    x = 232,496.61/494.82
  6. Step 6: Final answer
    x = 469.86

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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.