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Finding the Fourth Proportional to 1,245.20, 1,866.20 and 955.20

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Solution

The fourth proportional to 1,245.20, 1,866.20 and 955.20 is: 1,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.20 : 1,866.20 = 955.20 : x
  2. Step 2: Convert to fraction form
    1,245.20/1,866.20 = 955.20/x
  3. Step 3: Cross multiply
    1,245.20x = 1,866.20 × 955.20
  4. Step 4: Simplify right side
    1,245.20x = 1,782,594.24
  5. Step 5: Solve for x
    x = 1,782,594.24/1,245.20
  6. Step 6: Final answer
    x = 1,431.57

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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.