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Finding the Fourth Proportional to 923.22, 1,275.01 and 798.28

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Solution

The fourth proportional to 923.22, 1,275.01 and 798.28 is: 1,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.22 : 1,275.01 = 798.28 : x
  2. Step 2: Convert to fraction form
    923.22/1,275.01 = 798.28/x
  3. Step 3: Cross multiply
    923.22x = 1,275.01 × 798.28
  4. Step 4: Simplify right side
    923.22x = 1,017,809.80
  5. Step 5: Solve for x
    x = 1,017,809.80/923.22
  6. Step 6: Final answer
    x = 1,102.46

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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.