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Finding the Fourth Proportional to 730.16, 1,007.62 and 398.58

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Solution

The fourth proportional to 730.16, 1,007.62 and 398.58 is: 550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.16 : 1,007.62 = 398.58 : x
  2. Step 2: Convert to fraction form
    730.16/1,007.62 = 398.58/x
  3. Step 3: Cross multiply
    730.16x = 1,007.62 × 398.58
  4. Step 4: Simplify right side
    730.16x = 401,617.18
  5. Step 5: Solve for x
    x = 401,617.18/730.16
  6. Step 6: Final answer
    x = 550.04

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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.