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Finding the Fourth Proportional to 1,023.77, 1,533.82 and 622.33

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Solution

The fourth proportional to 1,023.77, 1,533.82 and 622.33 is: 932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.77 : 1,533.82 = 622.33 : x
  2. Step 2: Convert to fraction form
    1,023.77/1,533.82 = 622.33/x
  3. Step 3: Cross multiply
    1,023.77x = 1,533.82 × 622.33
  4. Step 4: Simplify right side
    1,023.77x = 954,531.42
  5. Step 5: Solve for x
    x = 954,531.42/1,023.77
  6. Step 6: Final answer
    x = 932.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.