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Finding the Fourth Proportional to 825.92, 1,139.30 and 526.62

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Solution

The fourth proportional to 825.92, 1,139.30 and 526.62 is: 726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.92 : 1,139.30 = 526.62 : x
  2. Step 2: Convert to fraction form
    825.92/1,139.30 = 526.62/x
  3. Step 3: Cross multiply
    825.92x = 1,139.30 × 526.62
  4. Step 4: Simplify right side
    825.92x = 599,978.17
  5. Step 5: Solve for x
    x = 599,978.17/825.92
  6. Step 6: Final answer
    x = 726.44

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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.