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Finding the Fourth Proportional to 802.42, 1,107.81 and 550.64

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Solution

The fourth proportional to 802.42, 1,107.81 and 550.64 is: 760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,107.81 = 550.64 : x
  2. Step 2: Convert to fraction form
    802.42/1,107.81 = 550.64/x
  3. Step 3: Cross multiply
    802.42x = 1,107.81 × 550.64
  4. Step 4: Simplify right side
    802.42x = 610,007.27
  5. Step 5: Solve for x
    x = 610,007.27/802.42
  6. Step 6: Final answer
    x = 760.21

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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.