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Finding the Fourth Proportional to 803.85, 1,205.19 and 543.12

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Solution

The fourth proportional to 803.85, 1,205.19 and 543.12 is: 814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.85 : 1,205.19 = 543.12 : x
  2. Step 2: Convert to fraction form
    803.85/1,205.19 = 543.12/x
  3. Step 3: Cross multiply
    803.85x = 1,205.19 × 543.12
  4. Step 4: Simplify right side
    803.85x = 654,562.79
  5. Step 5: Solve for x
    x = 654,562.79/803.85
  6. Step 6: Final answer
    x = 814.28

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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.