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Finding the Fourth Proportional to 699.56, 1,049.08 and 352.67

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Solution

The fourth proportional to 699.56, 1,049.08 and 352.67 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 1,049.08 = 352.67 : x
  2. Step 2: Convert to fraction form
    699.56/1,049.08 = 352.67/x
  3. Step 3: Cross multiply
    699.56x = 1,049.08 × 352.67
  4. Step 4: Simplify right side
    699.56x = 369,972.92
  5. Step 5: Solve for x
    x = 369,972.92/699.56
  6. Step 6: Final answer
    x = 528.86

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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.