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Finding the Fourth Proportional to 929.22, 1,283.28 and 804.28

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Solution

The fourth proportional to 929.22, 1,283.28 and 804.28 is: 1,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,283.28 = 804.28 : x
  2. Step 2: Convert to fraction form
    929.22/1,283.28 = 804.28/x
  3. Step 3: Cross multiply
    929.22x = 1,283.28 × 804.28
  4. Step 4: Simplify right side
    929.22x = 1,032,116.44
  5. Step 5: Solve for x
    x = 1,032,116.44/929.22
  6. Step 6: Final answer
    x = 1,110.73

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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.