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Finding the Fourth Proportional to 890.25, 1,225.64 and 773.78

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Solution

The fourth proportional to 890.25, 1,225.64 and 773.78 is: 1,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.25 : 1,225.64 = 773.78 : x
  2. Step 2: Convert to fraction form
    890.25/1,225.64 = 773.78/x
  3. Step 3: Cross multiply
    890.25x = 1,225.64 × 773.78
  4. Step 4: Simplify right side
    890.25x = 948,365.72
  5. Step 5: Solve for x
    x = 948,365.72/890.25
  6. Step 6: Final answer
    x = 1,065.28

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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.