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Finding the Fourth Proportional to 1,295.20, 1,785.72 and 852.40

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Solution

The fourth proportional to 1,295.20, 1,785.72 and 852.40 is: 1,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.20 : 1,785.72 = 852.40 : x
  2. Step 2: Convert to fraction form
    1,295.20/1,785.72 = 852.40/x
  3. Step 3: Cross multiply
    1,295.20x = 1,785.72 × 852.40
  4. Step 4: Simplify right side
    1,295.20x = 1,522,147.73
  5. Step 5: Solve for x
    x = 1,522,147.73/1,295.20
  6. Step 6: Final answer
    x = 1,175.22

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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.