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Finding the Fourth Proportional to 1,102.70, 1,650.45 and 857.90

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Solution

The fourth proportional to 1,102.70, 1,650.45 and 857.90 is: 1,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.70 : 1,650.45 = 857.90 : x
  2. Step 2: Convert to fraction form
    1,102.70/1,650.45 = 857.90/x
  3. Step 3: Cross multiply
    1,102.70x = 1,650.45 × 857.90
  4. Step 4: Simplify right side
    1,102.70x = 1,415,921.06
  5. Step 5: Solve for x
    x = 1,415,921.06/1,102.70
  6. Step 6: Final answer
    x = 1,284.05

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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.