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Finding the Fourth Proportional to 825.20, 1,139.04 and 493.50

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Solution

The fourth proportional to 825.20, 1,139.04 and 493.50 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.20 : 1,139.04 = 493.50 : x
  2. Step 2: Convert to fraction form
    825.20/1,139.04 = 493.50/x
  3. Step 3: Cross multiply
    825.20x = 1,139.04 × 493.50
  4. Step 4: Simplify right side
    825.20x = 562,116.24
  5. Step 5: Solve for x
    x = 562,116.24/825.20
  6. Step 6: Final answer
    x = 681.19

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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.