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Finding the Fourth Proportional to 803.91, 1,109.25 and 472.35

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Solution

The fourth proportional to 803.91, 1,109.25 and 472.35 is: 651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.91 : 1,109.25 = 472.35 : x
  2. Step 2: Convert to fraction form
    803.91/1,109.25 = 472.35/x
  3. Step 3: Cross multiply
    803.91x = 1,109.25 × 472.35
  4. Step 4: Simplify right side
    803.91x = 523,954.24
  5. Step 5: Solve for x
    x = 523,954.24/803.91
  6. Step 6: Final answer
    x = 651.76

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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.