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Finding the Fourth Proportional to 902.92, 1,245.81 and 509.86

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Solution

The fourth proportional to 902.92, 1,245.81 and 509.86 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.92 : 1,245.81 = 509.86 : x
  2. Step 2: Convert to fraction form
    902.92/1,245.81 = 509.86/x
  3. Step 3: Cross multiply
    902.92x = 1,245.81 × 509.86
  4. Step 4: Simplify right side
    902.92x = 635,188.69
  5. Step 5: Solve for x
    x = 635,188.69/902.92
  6. Step 6: Final answer
    x = 703.48

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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.