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Finding the Fourth Proportional to 825.42, 1,139.32 and 493.90

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Solution

The fourth proportional to 825.42, 1,139.32 and 493.90 is: 681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.42 : 1,139.32 = 493.90 : x
  2. Step 2: Convert to fraction form
    825.42/1,139.32 = 493.90/x
  3. Step 3: Cross multiply
    825.42x = 1,139.32 × 493.90
  4. Step 4: Simplify right side
    825.42x = 562,710.15
  5. Step 5: Solve for x
    x = 562,710.15/825.42
  6. Step 6: Final answer
    x = 681.73

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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.