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Finding the Fourth Proportional to 730.04, 1,007.42 and 398.43

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Solution

The fourth proportional to 730.04, 1,007.42 and 398.43 is: 549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,007.42 = 398.43 : x
  2. Step 2: Convert to fraction form
    730.04/1,007.42 = 398.43/x
  3. Step 3: Cross multiply
    730.04x = 1,007.42 × 398.43
  4. Step 4: Simplify right side
    730.04x = 401,384.36
  5. Step 5: Solve for x
    x = 401,384.36/730.04
  6. Step 6: Final answer
    x = 549.82

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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.