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Finding the Fourth Proportional to 746.42, 1,119.66 and 380.72

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Solution

The fourth proportional to 746.42, 1,119.66 and 380.72 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.42 : 1,119.66 = 380.72 : x
  2. Step 2: Convert to fraction form
    746.42/1,119.66 = 380.72/x
  3. Step 3: Cross multiply
    746.42x = 1,119.66 × 380.72
  4. Step 4: Simplify right side
    746.42x = 426,276.96
  5. Step 5: Solve for x
    x = 426,276.96/746.42
  6. Step 6: Final answer
    x = 571.10

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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.