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Finding the Fourth Proportional to 490.32, 670.86 and 488.28

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Solution

The fourth proportional to 490.32, 670.86 and 488.28 is: 668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 670.86 = 488.28 : x
  2. Step 2: Convert to fraction form
    490.32/670.86 = 488.28/x
  3. Step 3: Cross multiply
    490.32x = 670.86 × 488.28
  4. Step 4: Simplify right side
    490.32x = 327,567.52
  5. Step 5: Solve for x
    x = 327,567.52/490.32
  6. Step 6: Final answer
    x = 668.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.