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Finding the Fourth Proportional to 650.98, 898.37 and 356.24

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Solution

The fourth proportional to 650.98, 898.37 and 356.24 is: 491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 898.37 = 356.24 : x
  2. Step 2: Convert to fraction form
    650.98/898.37 = 356.24/x
  3. Step 3: Cross multiply
    650.98x = 898.37 × 356.24
  4. Step 4: Simplify right side
    650.98x = 320,035.79
  5. Step 5: Solve for x
    x = 320,035.79/650.98
  6. Step 6: Final answer
    x = 491.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.