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Finding the Fourth Proportional to 890.94, 1,229.49 and 492.60

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Solution

The fourth proportional to 890.94, 1,229.49 and 492.60 is: 679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.94 : 1,229.49 = 492.60 : x
  2. Step 2: Convert to fraction form
    890.94/1,229.49 = 492.60/x
  3. Step 3: Cross multiply
    890.94x = 1,229.49 × 492.60
  4. Step 4: Simplify right side
    890.94x = 605,646.77
  5. Step 5: Solve for x
    x = 605,646.77/890.94
  6. Step 6: Final answer
    x = 679.78

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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.