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Finding the Fourth Proportional to 490.75, 672.34 and 472.30

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Solution

The fourth proportional to 490.75, 672.34 and 472.30 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 672.34 = 472.30 : x
  2. Step 2: Convert to fraction form
    490.75/672.34 = 472.30/x
  3. Step 3: Cross multiply
    490.75x = 672.34 × 472.30
  4. Step 4: Simplify right side
    490.75x = 317,543.82
  5. Step 5: Solve for x
    x = 317,543.82/490.75
  6. Step 6: Final answer
    x = 647.06

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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.