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Finding the Fourth Proportional to 803.82, 1,204.93 and 341.71

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Solution

The fourth proportional to 803.82, 1,204.93 and 341.71 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,204.93 = 341.71 : x
  2. Step 2: Convert to fraction form
    803.82/1,204.93 = 341.71/x
  3. Step 3: Cross multiply
    803.82x = 1,204.93 × 341.71
  4. Step 4: Simplify right side
    803.82x = 411,736.63
  5. Step 5: Solve for x
    x = 411,736.63/803.82
  6. Step 6: Final answer
    x = 512.22

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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.