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Finding the Fourth Proportional to 730.10, 1,007.56 and 398.56

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Solution

The fourth proportional to 730.10, 1,007.56 and 398.56 is: 550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.10 : 1,007.56 = 398.56 : x
  2. Step 2: Convert to fraction form
    730.10/1,007.56 = 398.56/x
  3. Step 3: Cross multiply
    730.10x = 1,007.56 × 398.56
  4. Step 4: Simplify right side
    730.10x = 401,574.87
  5. Step 5: Solve for x
    x = 401,574.87/730.10
  6. Step 6: Final answer
    x = 550.02

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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.