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Finding the Fourth Proportional to 730.52, 1,096.32 and 512.72

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Solution

The fourth proportional to 730.52, 1,096.32 and 512.72 is: 769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.52 : 1,096.32 = 512.72 : x
  2. Step 2: Convert to fraction form
    730.52/1,096.32 = 512.72/x
  3. Step 3: Cross multiply
    730.52x = 1,096.32 × 512.72
  4. Step 4: Simplify right side
    730.52x = 562,105.19
  5. Step 5: Solve for x
    x = 562,105.19/730.52
  6. Step 6: Final answer
    x = 769.46

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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.