Home / 1,684.59-2,324.90-976.41

Finding the Fourth Proportional to 1,684.59, 2,324.90 and 976.41

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Solution

The fourth proportional to 1,684.59, 2,324.90 and 976.41 is: 1,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.59 : 2,324.90 = 976.41 : x
  2. Step 2: Convert to fraction form
    1,684.59/2,324.90 = 976.41/x
  3. Step 3: Cross multiply
    1,684.59x = 2,324.90 × 976.41
  4. Step 4: Simplify right side
    1,684.59x = 2,270,055.61
  5. Step 5: Solve for x
    x = 2,270,055.61/1,684.59
  6. Step 6: Final answer
    x = 1,347.54

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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.