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Finding the Fourth Proportional to 857.98, 1,285.75 and 492.27

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Solution

The fourth proportional to 857.98, 1,285.75 and 492.27 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.98 : 1,285.75 = 492.27 : x
  2. Step 2: Convert to fraction form
    857.98/1,285.75 = 492.27/x
  3. Step 3: Cross multiply
    857.98x = 1,285.75 × 492.27
  4. Step 4: Simplify right side
    857.98x = 632,936.15
  5. Step 5: Solve for x
    x = 632,936.15/857.98
  6. Step 6: Final answer
    x = 737.71

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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.