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Finding the Fourth Proportional to 494.70, 742.65 and 312.85

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Solution

The fourth proportional to 494.70, 742.65 and 312.85 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.70 : 742.65 = 312.85 : x
  2. Step 2: Convert to fraction form
    494.70/742.65 = 312.85/x
  3. Step 3: Cross multiply
    494.70x = 742.65 × 312.85
  4. Step 4: Simplify right side
    494.70x = 232,338.05
  5. Step 5: Solve for x
    x = 232,338.05/494.70
  6. Step 6: Final answer
    x = 469.65

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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.