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Finding the Fourth Proportional to 803.82, 1,205.60 and 284.21

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Solution

The fourth proportional to 803.82, 1,205.60 and 284.21 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,205.60 = 284.21 : x
  2. Step 2: Convert to fraction form
    803.82/1,205.60 = 284.21/x
  3. Step 3: Cross multiply
    803.82x = 1,205.60 × 284.21
  4. Step 4: Simplify right side
    803.82x = 342,643.58
  5. Step 5: Solve for x
    x = 342,643.58/803.82
  6. Step 6: Final answer
    x = 426.27

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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.