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Finding the Fourth Proportional to 1,023.05, 1,408.46 and 857.00

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Solution

The fourth proportional to 1,023.05, 1,408.46 and 857.00 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.05 : 1,408.46 = 857.00 : x
  2. Step 2: Convert to fraction form
    1,023.05/1,408.46 = 857.00/x
  3. Step 3: Cross multiply
    1,023.05x = 1,408.46 × 857.00
  4. Step 4: Simplify right side
    1,023.05x = 1,207,049.46
  5. Step 5: Solve for x
    x = 1,207,049.46/1,023.05
  6. Step 6: Final answer
    x = 1,179.85

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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.