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Finding the Fourth Proportional to 904.86, 1,247.86 and 799.56

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Solution

The fourth proportional to 904.86, 1,247.86 and 799.56 is: 1,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.86 : 1,247.86 = 799.56 : x
  2. Step 2: Convert to fraction form
    904.86/1,247.86 = 799.56/x
  3. Step 3: Cross multiply
    904.86x = 1,247.86 × 799.56
  4. Step 4: Simplify right side
    904.86x = 997,738.94
  5. Step 5: Solve for x
    x = 997,738.94/904.86
  6. Step 6: Final answer
    x = 1,102.64

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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.