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Finding the Fourth Proportional to 1,231.60, 1,845.48 and 774.64

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Solution

The fourth proportional to 1,231.60, 1,845.48 and 774.64 is: 1,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.60 : 1,845.48 = 774.64 : x
  2. Step 2: Convert to fraction form
    1,231.60/1,845.48 = 774.64/x
  3. Step 3: Cross multiply
    1,231.60x = 1,845.48 × 774.64
  4. Step 4: Simplify right side
    1,231.60x = 1,429,582.63
  5. Step 5: Solve for x
    x = 1,429,582.63/1,231.60
  6. Step 6: Final answer
    x = 1,160.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.