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Finding the Fourth Proportional to 746.87, 1,119.57 and 356.67

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Solution

The fourth proportional to 746.87, 1,119.57 and 356.67 is: 534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.87 : 1,119.57 = 356.67 : x
  2. Step 2: Convert to fraction form
    746.87/1,119.57 = 356.67/x
  3. Step 3: Cross multiply
    746.87x = 1,119.57 × 356.67
  4. Step 4: Simplify right side
    746.87x = 399,317.03
  5. Step 5: Solve for x
    x = 399,317.03/746.87
  6. Step 6: Final answer
    x = 534.66

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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.