Home / 1,660.49-2,291.61-914.60

Finding the Fourth Proportional to 1,660.49, 2,291.61 and 914.60

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Solution

The fourth proportional to 1,660.49, 2,291.61 and 914.60 is: 1,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.49 : 2,291.61 = 914.60 : x
  2. Step 2: Convert to fraction form
    1,660.49/2,291.61 = 914.60/x
  3. Step 3: Cross multiply
    1,660.49x = 2,291.61 × 914.60
  4. Step 4: Simplify right side
    1,660.49x = 2,095,915.66
  5. Step 5: Solve for x
    x = 2,095,915.66/1,660.49
  6. Step 6: Final answer
    x = 1,262.23

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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.