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Finding the Fourth Proportional to 737.85, 1,105.47 and 391.43

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Solution

The fourth proportional to 737.85, 1,105.47 and 391.43 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.85 : 1,105.47 = 391.43 : x
  2. Step 2: Convert to fraction form
    737.85/1,105.47 = 391.43/x
  3. Step 3: Cross multiply
    737.85x = 1,105.47 × 391.43
  4. Step 4: Simplify right side
    737.85x = 432,710.67
  5. Step 5: Solve for x
    x = 432,710.67/737.85
  6. Step 6: Final answer
    x = 586.45

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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.