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Finding the Fourth Proportional to 802.94, 1,107.36 and 636.86

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Solution

The fourth proportional to 802.94, 1,107.36 and 636.86 is: 878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,107.36 = 636.86 : x
  2. Step 2: Convert to fraction form
    802.94/1,107.36 = 636.86/x
  3. Step 3: Cross multiply
    802.94x = 1,107.36 × 636.86
  4. Step 4: Simplify right side
    802.94x = 705,233.29
  5. Step 5: Solve for x
    x = 705,233.29/802.94
  6. Step 6: Final answer
    x = 878.31

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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.