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Finding the Fourth Proportional to 825.50, 1,139.19 and 493.94

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Solution

The fourth proportional to 825.50, 1,139.19 and 493.94 is: 681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.50 : 1,139.19 = 493.94 : x
  2. Step 2: Convert to fraction form
    825.50/1,139.19 = 493.94/x
  3. Step 3: Cross multiply
    825.50x = 1,139.19 × 493.94
  4. Step 4: Simplify right side
    825.50x = 562,691.51
  5. Step 5: Solve for x
    x = 562,691.51/825.50
  6. Step 6: Final answer
    x = 681.64

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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.