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Finding the Fourth Proportional to 904.24, 1,245.24 and 779.74

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Solution

The fourth proportional to 904.24, 1,245.24 and 779.74 is: 1,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.24 : 1,245.24 = 779.74 : x
  2. Step 2: Convert to fraction form
    904.24/1,245.24 = 779.74/x
  3. Step 3: Cross multiply
    904.24x = 1,245.24 × 779.74
  4. Step 4: Simplify right side
    904.24x = 970,963.44
  5. Step 5: Solve for x
    x = 970,963.44/904.24
  6. Step 6: Final answer
    x = 1,073.79

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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.