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Finding the Fourth Proportional to 803.81, 1,109.28 and 472.19

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Solution

The fourth proportional to 803.81, 1,109.28 and 472.19 is: 651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.81 : 1,109.28 = 472.19 : x
  2. Step 2: Convert to fraction form
    803.81/1,109.28 = 472.19/x
  3. Step 3: Cross multiply
    803.81x = 1,109.28 × 472.19
  4. Step 4: Simplify right side
    803.81x = 523,790.92
  5. Step 5: Solve for x
    x = 523,790.92/803.81
  6. Step 6: Final answer
    x = 651.64

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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.