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Finding the Fourth Proportional to 1,025.08, 1,410.98 and 857.44

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Solution

The fourth proportional to 1,025.08, 1,410.98 and 857.44 is: 1,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.08 : 1,410.98 = 857.44 : x
  2. Step 2: Convert to fraction form
    1,025.08/1,410.98 = 857.44/x
  3. Step 3: Cross multiply
    1,025.08x = 1,410.98 × 857.44
  4. Step 4: Simplify right side
    1,025.08x = 1,209,830.69
  5. Step 5: Solve for x
    x = 1,209,830.69/1,025.08
  6. Step 6: Final answer
    x = 1,180.23

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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.