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Finding the Fourth Proportional to 802.36, 1,097 and 772.12

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Solution

The fourth proportional to 802.36, 1,097 and 772.12 is: 1,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.36 : 1,097 = 772.12 : x
  2. Step 2: Convert to fraction form
    802.36/1,097 = 772.12/x
  3. Step 3: Cross multiply
    802.36x = 1,097 × 772.12
  4. Step 4: Simplify right side
    802.36x = 847,015.64
  5. Step 5: Solve for x
    x = 847,015.64/802.36
  6. Step 6: Final answer
    x = 1,055.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.