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Finding the Fourth Proportional to 922.13, 1,273.98 and 783.69

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Solution

The fourth proportional to 922.13, 1,273.98 and 783.69 is: 1,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.13 : 1,273.98 = 783.69 : x
  2. Step 2: Convert to fraction form
    922.13/1,273.98 = 783.69/x
  3. Step 3: Cross multiply
    922.13x = 1,273.98 × 783.69
  4. Step 4: Simplify right side
    922.13x = 998,406.31
  5. Step 5: Solve for x
    x = 998,406.31/922.13
  6. Step 6: Final answer
    x = 1,082.72

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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.