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Finding the Fourth Proportional to 922.00, 1,273.36 and 803.42

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Solution

The fourth proportional to 922.00, 1,273.36 and 803.42 is: 1,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.00 : 1,273.36 = 803.42 : x
  2. Step 2: Convert to fraction form
    922.00/1,273.36 = 803.42/x
  3. Step 3: Cross multiply
    922.00x = 1,273.36 × 803.42
  4. Step 4: Simplify right side
    922.00x = 1,023,039.67
  5. Step 5: Solve for x
    x = 1,023,039.67/922.00
  6. Step 6: Final answer
    x = 1,109.59

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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.