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Finding the Fourth Proportional to 825.47, 1,138.82 and 493.77

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Solution

The fourth proportional to 825.47, 1,138.82 and 493.77 is: 681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.47 : 1,138.82 = 493.77 : x
  2. Step 2: Convert to fraction form
    825.47/1,138.82 = 493.77/x
  3. Step 3: Cross multiply
    825.47x = 1,138.82 × 493.77
  4. Step 4: Simplify right side
    825.47x = 562,312.68
  5. Step 5: Solve for x
    x = 562,312.68/825.47
  6. Step 6: Final answer
    x = 681.21

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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.