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Finding the Fourth Proportional to 825.16, 1,138.36 and 526.32

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Solution

The fourth proportional to 825.16, 1,138.36 and 526.32 is: 726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,138.36 = 526.32 : x
  2. Step 2: Convert to fraction form
    825.16/1,138.36 = 526.32/x
  3. Step 3: Cross multiply
    825.16x = 1,138.36 × 526.32
  4. Step 4: Simplify right side
    825.16x = 599,141.64
  5. Step 5: Solve for x
    x = 599,141.64/825.16
  6. Step 6: Final answer
    x = 726.09

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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.