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Finding the Fourth Proportional to 620.49, 929.82 and 490.83

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Solution

The fourth proportional to 620.49, 929.82 and 490.83 is: 735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 929.82 = 490.83 : x
  2. Step 2: Convert to fraction form
    620.49/929.82 = 490.83/x
  3. Step 3: Cross multiply
    620.49x = 929.82 × 490.83
  4. Step 4: Simplify right side
    620.49x = 456,383.55
  5. Step 5: Solve for x
    x = 456,383.55/620.49
  6. Step 6: Final answer
    x = 735.52

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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.