Home / 1,328.17-1,832.37-823.79

Finding the Fourth Proportional to 1,328.17, 1,832.37 and 823.79

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Solution

The fourth proportional to 1,328.17, 1,832.37 and 823.79 is: 1,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.17 : 1,832.37 = 823.79 : x
  2. Step 2: Convert to fraction form
    1,328.17/1,832.37 = 823.79/x
  3. Step 3: Cross multiply
    1,328.17x = 1,832.37 × 823.79
  4. Step 4: Simplify right side
    1,328.17x = 1,509,474.80
  5. Step 5: Solve for x
    x = 1,509,474.80/1,328.17
  6. Step 6: Final answer
    x = 1,136.51

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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.