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Finding the Fourth Proportional to 803.18, 1,204.41 and 283.07

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Solution

The fourth proportional to 803.18, 1,204.41 and 283.07 is: 424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.18 : 1,204.41 = 283.07 : x
  2. Step 2: Convert to fraction form
    803.18/1,204.41 = 283.07/x
  3. Step 3: Cross multiply
    803.18x = 1,204.41 × 283.07
  4. Step 4: Simplify right side
    803.18x = 340,932.34
  5. Step 5: Solve for x
    x = 340,932.34/803.18
  6. Step 6: Final answer
    x = 424.48

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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.