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Finding the Fourth Proportional to 490.34, 677.15 and 463.07

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Solution

The fourth proportional to 490.34, 677.15 and 463.07 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 677.15 = 463.07 : x
  2. Step 2: Convert to fraction form
    490.34/677.15 = 463.07/x
  3. Step 3: Cross multiply
    490.34x = 677.15 × 463.07
  4. Step 4: Simplify right side
    490.34x = 313,562.15
  5. Step 5: Solve for x
    x = 313,562.15/490.34
  6. Step 6: Final answer
    x = 639.49

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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.