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Finding the Fourth Proportional to 822.13, 1,134.63 and 490.54

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Solution

The fourth proportional to 822.13, 1,134.63 and 490.54 is: 677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.13 : 1,134.63 = 490.54 : x
  2. Step 2: Convert to fraction form
    822.13/1,134.63 = 490.54/x
  3. Step 3: Cross multiply
    822.13x = 1,134.63 × 490.54
  4. Step 4: Simplify right side
    822.13x = 556,581.40
  5. Step 5: Solve for x
    x = 556,581.40/822.13
  6. Step 6: Final answer
    x = 677.00

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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.