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Finding the Fourth Proportional to 730.37, 1,007.93 and 398.78

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Solution

The fourth proportional to 730.37, 1,007.93 and 398.78 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.37 : 1,007.93 = 398.78 : x
  2. Step 2: Convert to fraction form
    730.37/1,007.93 = 398.78/x
  3. Step 3: Cross multiply
    730.37x = 1,007.93 × 398.78
  4. Step 4: Simplify right side
    730.37x = 401,935.29
  5. Step 5: Solve for x
    x = 401,935.29/730.37
  6. Step 6: Final answer
    x = 550.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.