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Finding the Fourth Proportional to 803.87, 1,205.80 and 341.53

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Solution

The fourth proportional to 803.87, 1,205.80 and 341.53 is: 512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.87 : 1,205.80 = 341.53 : x
  2. Step 2: Convert to fraction form
    803.87/1,205.80 = 341.53/x
  3. Step 3: Cross multiply
    803.87x = 1,205.80 × 341.53
  4. Step 4: Simplify right side
    803.87x = 411,810.85
  5. Step 5: Solve for x
    x = 411,810.85/803.87
  6. Step 6: Final answer
    x = 512.29

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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.