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Finding the Fourth Proportional to 803.36, 1,109.07 and 471.78

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Solution

The fourth proportional to 803.36, 1,109.07 and 471.78 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.36 : 1,109.07 = 471.78 : x
  2. Step 2: Convert to fraction form
    803.36/1,109.07 = 471.78/x
  3. Step 3: Cross multiply
    803.36x = 1,109.07 × 471.78
  4. Step 4: Simplify right side
    803.36x = 523,234.69
  5. Step 5: Solve for x
    x = 523,234.69/803.36
  6. Step 6: Final answer
    x = 651.31

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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.