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Finding the Fourth Proportional to 730.52, 1,096.10 and 383.77

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Solution

The fourth proportional to 730.52, 1,096.10 and 383.77 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.52 : 1,096.10 = 383.77 : x
  2. Step 2: Convert to fraction form
    730.52/1,096.10 = 383.77/x
  3. Step 3: Cross multiply
    730.52x = 1,096.10 × 383.77
  4. Step 4: Simplify right side
    730.52x = 420,653.04
  5. Step 5: Solve for x
    x = 420,653.04/730.52
  6. Step 6: Final answer
    x = 575.83

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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.