Home / 1,217.25-1,681.18-823.59

Finding the Fourth Proportional to 1,217.25, 1,681.18 and 823.59

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Solution

The fourth proportional to 1,217.25, 1,681.18 and 823.59 is: 1,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.25 : 1,681.18 = 823.59 : x
  2. Step 2: Convert to fraction form
    1,217.25/1,681.18 = 823.59/x
  3. Step 3: Cross multiply
    1,217.25x = 1,681.18 × 823.59
  4. Step 4: Simplify right side
    1,217.25x = 1,384,600.98
  5. Step 5: Solve for x
    x = 1,384,600.98/1,217.25
  6. Step 6: Final answer
    x = 1,137.48

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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.