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Finding the Fourth Proportional to 490.13, 735.50 and 284.79

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Solution

The fourth proportional to 490.13, 735.50 and 284.79 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.13 : 735.50 = 284.79 : x
  2. Step 2: Convert to fraction form
    490.13/735.50 = 284.79/x
  3. Step 3: Cross multiply
    490.13x = 735.50 × 284.79
  4. Step 4: Simplify right side
    490.13x = 209,461.62
  5. Step 5: Solve for x
    x = 209,461.62/490.13
  6. Step 6: Final answer
    x = 427.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.