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Finding the Fourth Proportional to 1,091.23, 1,635.10 and 570.46

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Solution

The fourth proportional to 1,091.23, 1,635.10 and 570.46 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.23 : 1,635.10 = 570.46 : x
  2. Step 2: Convert to fraction form
    1,091.23/1,635.10 = 570.46/x
  3. Step 3: Cross multiply
    1,091.23x = 1,635.10 × 570.46
  4. Step 4: Simplify right side
    1,091.23x = 932,759.15
  5. Step 5: Solve for x
    x = 932,759.15/1,091.23
  6. Step 6: Final answer
    x = 854.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.