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Finding the Fourth Proportional to 821.97, 1,134.38 and 490.39

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Solution

The fourth proportional to 821.97, 1,134.38 and 490.39 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.97 : 1,134.38 = 490.39 : x
  2. Step 2: Convert to fraction form
    821.97/1,134.38 = 490.39/x
  3. Step 3: Cross multiply
    821.97x = 1,134.38 × 490.39
  4. Step 4: Simplify right side
    821.97x = 556,287.00
  5. Step 5: Solve for x
    x = 556,287.00/821.97
  6. Step 6: Final answer
    x = 676.77

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Double scale
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1.5x scale

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.