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Finding the Fourth Proportional to 803.82, 1,206.18 and 316.83

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Solution

The fourth proportional to 803.82, 1,206.18 and 316.83 is: 475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,206.18 = 316.83 : x
  2. Step 2: Convert to fraction form
    803.82/1,206.18 = 316.83/x
  3. Step 3: Cross multiply
    803.82x = 1,206.18 × 316.83
  4. Step 4: Simplify right side
    803.82x = 382,154.01
  5. Step 5: Solve for x
    x = 382,154.01/803.82
  6. Step 6: Final answer
    x = 475.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.