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Finding the Fourth Proportional to 821.67, 1,134.01 and 490.08

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Solution

The fourth proportional to 821.67, 1,134.01 and 490.08 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.67 : 1,134.01 = 490.08 : x
  2. Step 2: Convert to fraction form
    821.67/1,134.01 = 490.08/x
  3. Step 3: Cross multiply
    821.67x = 1,134.01 × 490.08
  4. Step 4: Simplify right side
    821.67x = 555,755.62
  5. Step 5: Solve for x
    x = 555,755.62/821.67
  6. Step 6: Final answer
    x = 676.37

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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.