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Finding the Fourth Proportional to 803.44, 1,205.12 and 316.56

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Solution

The fourth proportional to 803.44, 1,205.12 and 316.56 is: 474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.44 : 1,205.12 = 316.56 : x
  2. Step 2: Convert to fraction form
    803.44/1,205.12 = 316.56/x
  3. Step 3: Cross multiply
    803.44x = 1,205.12 × 316.56
  4. Step 4: Simplify right side
    803.44x = 381,492.79
  5. Step 5: Solve for x
    x = 381,492.79/803.44
  6. Step 6: Final answer
    x = 474.82

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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.