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Finding the Fourth Proportional to 490.19, 728.98 and 474.82

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Solution

The fourth proportional to 490.19, 728.98 and 474.82 is: 706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.19 : 728.98 = 474.82 : x
  2. Step 2: Convert to fraction form
    490.19/728.98 = 474.82/x
  3. Step 3: Cross multiply
    490.19x = 728.98 × 474.82
  4. Step 4: Simplify right side
    490.19x = 346,131.27
  5. Step 5: Solve for x
    x = 346,131.27/490.19
  6. Step 6: Final answer
    x = 706.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.