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Finding the Fourth Proportional to 699.55, 1,049.46 and 266.70

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Solution

The fourth proportional to 699.55, 1,049.46 and 266.70 is: 400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.55 : 1,049.46 = 266.70 : x
  2. Step 2: Convert to fraction form
    699.55/1,049.46 = 266.70/x
  3. Step 3: Cross multiply
    699.55x = 1,049.46 × 266.70
  4. Step 4: Simplify right side
    699.55x = 279,893.92
  5. Step 5: Solve for x
    x = 279,893.92/699.55
  6. Step 6: Final answer
    x = 400.11

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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.