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Finding the Fourth Proportional to 890.78, 1,229.25 and 492.47

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Solution

The fourth proportional to 890.78, 1,229.25 and 492.47 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.78 : 1,229.25 = 492.47 : x
  2. Step 2: Convert to fraction form
    890.78/1,229.25 = 492.47/x
  3. Step 3: Cross multiply
    890.78x = 1,229.25 × 492.47
  4. Step 4: Simplify right side
    890.78x = 605,368.75
  5. Step 5: Solve for x
    x = 605,368.75/890.78
  6. Step 6: Final answer
    x = 679.59

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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.