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Finding the Fourth Proportional to 803.06, 1,204.13 and 315.85

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Solution

The fourth proportional to 803.06, 1,204.13 and 315.85 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.06 : 1,204.13 = 315.85 : x
  2. Step 2: Convert to fraction form
    803.06/1,204.13 = 315.85/x
  3. Step 3: Cross multiply
    803.06x = 1,204.13 × 315.85
  4. Step 4: Simplify right side
    803.06x = 380,319.23
  5. Step 5: Solve for x
    x = 380,319.23/803.06
  6. Step 6: Final answer
    x = 473.59

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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.