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Finding the Fourth Proportional to 825.21, 1,137.83 and 658.89

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Solution

The fourth proportional to 825.21, 1,137.83 and 658.89 is: 908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.21 : 1,137.83 = 658.89 : x
  2. Step 2: Convert to fraction form
    825.21/1,137.83 = 658.89/x
  3. Step 3: Cross multiply
    825.21x = 1,137.83 × 658.89
  4. Step 4: Simplify right side
    825.21x = 749,701.51
  5. Step 5: Solve for x
    x = 749,701.51/825.21
  6. Step 6: Final answer
    x = 908.50

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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.