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Finding the Fourth Proportional to 825.29, 1,138.86 and 493.52

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Solution

The fourth proportional to 825.29, 1,138.86 and 493.52 is: 681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.29 : 1,138.86 = 493.52 : x
  2. Step 2: Convert to fraction form
    825.29/1,138.86 = 493.52/x
  3. Step 3: Cross multiply
    825.29x = 1,138.86 × 493.52
  4. Step 4: Simplify right side
    825.29x = 562,048.57
  5. Step 5: Solve for x
    x = 562,048.57/825.29
  6. Step 6: Final answer
    x = 681.03

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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.