Home / 1,270.92-1,905.46-577.23

Finding the Fourth Proportional to 1,270.92, 1,905.46 and 577.23

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Solution

The fourth proportional to 1,270.92, 1,905.46 and 577.23 is: 865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.92 : 1,905.46 = 577.23 : x
  2. Step 2: Convert to fraction form
    1,270.92/1,905.46 = 577.23/x
  3. Step 3: Cross multiply
    1,270.92x = 1,905.46 × 577.23
  4. Step 4: Simplify right side
    1,270.92x = 1,099,880.09
  5. Step 5: Solve for x
    x = 1,099,880.09/1,270.92
  6. Step 6: Final answer
    x = 865.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.