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Finding the Fourth Proportional to 699.66, 1,049.11 and 504.74

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Solution

The fourth proportional to 699.66, 1,049.11 and 504.74 is: 756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.66 : 1,049.11 = 504.74 : x
  2. Step 2: Convert to fraction form
    699.66/1,049.11 = 504.74/x
  3. Step 3: Cross multiply
    699.66x = 1,049.11 × 504.74
  4. Step 4: Simplify right side
    699.66x = 529,529.14
  5. Step 5: Solve for x
    x = 529,529.14/699.66
  6. Step 6: Final answer
    x = 756.84

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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.