Home / 1,098.09-1,645.25-823.77

Finding the Fourth Proportional to 1,098.09, 1,645.25 and 823.77

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Solution

The fourth proportional to 1,098.09, 1,645.25 and 823.77 is: 1,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.09 : 1,645.25 = 823.77 : x
  2. Step 2: Convert to fraction form
    1,098.09/1,645.25 = 823.77/x
  3. Step 3: Cross multiply
    1,098.09x = 1,645.25 × 823.77
  4. Step 4: Simplify right side
    1,098.09x = 1,355,303.47
  5. Step 5: Solve for x
    x = 1,355,303.47/1,098.09
  6. Step 6: Final answer
    x = 1,234.24

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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.