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Finding the Fourth Proportional to 730.91, 1,095.73 and 423.02

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Solution

The fourth proportional to 730.91, 1,095.73 and 423.02 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.91 : 1,095.73 = 423.02 : x
  2. Step 2: Convert to fraction form
    730.91/1,095.73 = 423.02/x
  3. Step 3: Cross multiply
    730.91x = 1,095.73 × 423.02
  4. Step 4: Simplify right side
    730.91x = 463,517.39
  5. Step 5: Solve for x
    x = 463,517.39/730.91
  6. Step 6: Final answer
    x = 634.16

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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.