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Finding the Fourth Proportional to 802.44, 1,107.78 and 492.12

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Solution

The fourth proportional to 802.44, 1,107.78 and 492.12 is: 679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.44 : 1,107.78 = 492.12 : x
  2. Step 2: Convert to fraction form
    802.44/1,107.78 = 492.12/x
  3. Step 3: Cross multiply
    802.44x = 1,107.78 × 492.12
  4. Step 4: Simplify right side
    802.44x = 545,160.69
  5. Step 5: Solve for x
    x = 545,160.69/802.44
  6. Step 6: Final answer
    x = 679.38

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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.