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Finding the Fourth Proportional to 803.80, 1,109.19 and 472.42

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Solution

The fourth proportional to 803.80, 1,109.19 and 472.42 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.80 : 1,109.19 = 472.42 : x
  2. Step 2: Convert to fraction form
    803.80/1,109.19 = 472.42/x
  3. Step 3: Cross multiply
    803.80x = 1,109.19 × 472.42
  4. Step 4: Simplify right side
    803.80x = 524,003.54
  5. Step 5: Solve for x
    x = 524,003.54/803.80
  6. Step 6: Final answer
    x = 651.91

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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.