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Finding the Fourth Proportional to 490.70, 731 and 466.94

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Solution

The fourth proportional to 490.70, 731 and 466.94 is: 695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 731 = 466.94 : x
  2. Step 2: Convert to fraction form
    490.70/731 = 466.94/x
  3. Step 3: Cross multiply
    490.70x = 731 × 466.94
  4. Step 4: Simplify right side
    490.70x = 341,333.14
  5. Step 5: Solve for x
    x = 341,333.14/490.70
  6. Step 6: Final answer
    x = 695.60

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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.