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Finding the Fourth Proportional to 825.89, 1,139.64 and 494.30

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Solution

The fourth proportional to 825.89, 1,139.64 and 494.30 is: 682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.89 : 1,139.64 = 494.30 : x
  2. Step 2: Convert to fraction form
    825.89/1,139.64 = 494.30/x
  3. Step 3: Cross multiply
    825.89x = 1,139.64 × 494.30
  4. Step 4: Simplify right side
    825.89x = 563,318.35
  5. Step 5: Solve for x
    x = 563,318.35/825.89
  6. Step 6: Final answer
    x = 682.08

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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.