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Finding the Fourth Proportional to 803.53, 1,205.43 and 255.71

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Solution

The fourth proportional to 803.53, 1,205.43 and 255.71 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.53 : 1,205.43 = 255.71 : x
  2. Step 2: Convert to fraction form
    803.53/1,205.43 = 255.71/x
  3. Step 3: Cross multiply
    803.53x = 1,205.43 × 255.71
  4. Step 4: Simplify right side
    803.53x = 308,240.51
  5. Step 5: Solve for x
    x = 308,240.51/803.53
  6. Step 6: Final answer
    x = 383.61

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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.