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Finding the Fourth Proportional to 802.89, 1,196.72 and 743.71

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Solution

The fourth proportional to 802.89, 1,196.72 and 743.71 is: 1,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.89 : 1,196.72 = 743.71 : x
  2. Step 2: Convert to fraction form
    802.89/1,196.72 = 743.71/x
  3. Step 3: Cross multiply
    802.89x = 1,196.72 × 743.71
  4. Step 4: Simplify right side
    802.89x = 890,009.25
  5. Step 5: Solve for x
    x = 890,009.25/802.89
  6. Step 6: Final answer
    x = 1,108.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.