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Finding the Fourth Proportional to 803.77, 1,109.29 and 472.31

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Solution

The fourth proportional to 803.77, 1,109.29 and 472.31 is: 651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.77 : 1,109.29 = 472.31 : x
  2. Step 2: Convert to fraction form
    803.77/1,109.29 = 472.31/x
  3. Step 3: Cross multiply
    803.77x = 1,109.29 × 472.31
  4. Step 4: Simplify right side
    803.77x = 523,922.03
  5. Step 5: Solve for x
    x = 523,922.03/803.77
  6. Step 6: Final answer
    x = 651.83

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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.