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Finding the Fourth Proportional to 653.92, 900.98 and 600.86

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Solution

The fourth proportional to 653.92, 900.98 and 600.86 is: 827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.92 : 900.98 = 600.86 : x
  2. Step 2: Convert to fraction form
    653.92/900.98 = 600.86/x
  3. Step 3: Cross multiply
    653.92x = 900.98 × 600.86
  4. Step 4: Simplify right side
    653.92x = 541,362.09
  5. Step 5: Solve for x
    x = 541,362.09/653.92
  6. Step 6: Final answer
    x = 827.88

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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.