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Finding the Fourth Proportional to 821.93, 1,133.87 and 490.17

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Solution

The fourth proportional to 821.93, 1,133.87 and 490.17 is: 676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,133.87 = 490.17 : x
  2. Step 2: Convert to fraction form
    821.93/1,133.87 = 490.17/x
  3. Step 3: Cross multiply
    821.93x = 1,133.87 × 490.17
  4. Step 4: Simplify right side
    821.93x = 555,786.61
  5. Step 5: Solve for x
    x = 555,786.61/821.93
  6. Step 6: Final answer
    x = 676.19

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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.