Home / 1,383.30-1,908.74-823.77

Finding the Fourth Proportional to 1,383.30, 1,908.74 and 823.77

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Solution

The fourth proportional to 1,383.30, 1,908.74 and 823.77 is: 1,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.30 : 1,908.74 = 823.77 : x
  2. Step 2: Convert to fraction form
    1,383.30/1,908.74 = 823.77/x
  3. Step 3: Cross multiply
    1,383.30x = 1,908.74 × 823.77
  4. Step 4: Simplify right side
    1,383.30x = 1,572,364.81
  5. Step 5: Solve for x
    x = 1,572,364.81/1,383.30
  6. Step 6: Final answer
    x = 1,136.68

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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.