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Finding the Fourth Proportional to 803.50, 1,204.94 and 316.28

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Solution

The fourth proportional to 803.50, 1,204.94 and 316.28 is: 474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.50 : 1,204.94 = 316.28 : x
  2. Step 2: Convert to fraction form
    803.50/1,204.94 = 316.28/x
  3. Step 3: Cross multiply
    803.50x = 1,204.94 × 316.28
  4. Step 4: Simplify right side
    803.50x = 381,098.42
  5. Step 5: Solve for x
    x = 381,098.42/803.50
  6. Step 6: Final answer
    x = 474.30

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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.