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Finding the Fourth Proportional to 730.03, 1,007.44 and 398.46

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Solution

The fourth proportional to 730.03, 1,007.44 and 398.46 is: 549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.03 : 1,007.44 = 398.46 : x
  2. Step 2: Convert to fraction form
    730.03/1,007.44 = 398.46/x
  3. Step 3: Cross multiply
    730.03x = 1,007.44 × 398.46
  4. Step 4: Simplify right side
    730.03x = 401,424.54
  5. Step 5: Solve for x
    x = 401,424.54/730.03
  6. Step 6: Final answer
    x = 549.87

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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.