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Finding the Fourth Proportional to 803.14, 1,204.94 and 694.26

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Solution

The fourth proportional to 803.14, 1,204.94 and 694.26 is: 1,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.14 : 1,204.94 = 694.26 : x
  2. Step 2: Convert to fraction form
    803.14/1,204.94 = 694.26/x
  3. Step 3: Cross multiply
    803.14x = 1,204.94 × 694.26
  4. Step 4: Simplify right side
    803.14x = 836,543.38
  5. Step 5: Solve for x
    x = 836,543.38/803.14
  6. Step 6: Final answer
    x = 1,041.59

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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.