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Finding the Fourth Proportional to 490.55, 677.03 and 313.65

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Solution

The fourth proportional to 490.55, 677.03 and 313.65 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.55 : 677.03 = 313.65 : x
  2. Step 2: Convert to fraction form
    490.55/677.03 = 313.65/x
  3. Step 3: Cross multiply
    490.55x = 677.03 × 313.65
  4. Step 4: Simplify right side
    490.55x = 212,348.89
  5. Step 5: Solve for x
    x = 212,348.89/490.55
  6. Step 6: Final answer
    x = 432.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.