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Finding the Fourth Proportional to 825.83, 1,238.35 and 479.27

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Solution

The fourth proportional to 825.83, 1,238.35 and 479.27 is: 718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.83 : 1,238.35 = 479.27 : x
  2. Step 2: Convert to fraction form
    825.83/1,238.35 = 479.27/x
  3. Step 3: Cross multiply
    825.83x = 1,238.35 × 479.27
  4. Step 4: Simplify right side
    825.83x = 593,499.84
  5. Step 5: Solve for x
    x = 593,499.84/825.83
  6. Step 6: Final answer
    x = 718.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.