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Finding the Fourth Proportional to 802.77, 1,196.13 and 767.39

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Solution

The fourth proportional to 802.77, 1,196.13 and 767.39 is: 1,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.77 : 1,196.13 = 767.39 : x
  2. Step 2: Convert to fraction form
    802.77/1,196.13 = 767.39/x
  3. Step 3: Cross multiply
    802.77x = 1,196.13 × 767.39
  4. Step 4: Simplify right side
    802.77x = 917,892.22
  5. Step 5: Solve for x
    x = 917,892.22/802.77
  6. Step 6: Final answer
    x = 1,143.41

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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.