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Finding the Fourth Proportional to 825.31, 1,139.70 and 658.99

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Solution

The fourth proportional to 825.31, 1,139.70 and 658.99 is: 910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.31 : 1,139.70 = 658.99 : x
  2. Step 2: Convert to fraction form
    825.31/1,139.70 = 658.99/x
  3. Step 3: Cross multiply
    825.31x = 1,139.70 × 658.99
  4. Step 4: Simplify right side
    825.31x = 751,050.90
  5. Step 5: Solve for x
    x = 751,050.90/825.31
  6. Step 6: Final answer
    x = 910.02

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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.