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Finding the Fourth Proportional to 802.33, 1,197.69 and 742.21

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Solution

The fourth proportional to 802.33, 1,197.69 and 742.21 is: 1,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.33 : 1,197.69 = 742.21 : x
  2. Step 2: Convert to fraction form
    802.33/1,197.69 = 742.21/x
  3. Step 3: Cross multiply
    802.33x = 1,197.69 × 742.21
  4. Step 4: Simplify right side
    802.33x = 888,937.49
  5. Step 5: Solve for x
    x = 888,937.49/802.33
  6. Step 6: Final answer
    x = 1,107.94

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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.