Home / 1,580.94-2,370.81-923.06

Finding the Fourth Proportional to 1,580.94, 2,370.81 and 923.06

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Solution

The fourth proportional to 1,580.94, 2,370.81 and 923.06 is: 1,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.94 : 2,370.81 = 923.06 : x
  2. Step 2: Convert to fraction form
    1,580.94/2,370.81 = 923.06/x
  3. Step 3: Cross multiply
    1,580.94x = 2,370.81 × 923.06
  4. Step 4: Simplify right side
    1,580.94x = 2,188,388.02
  5. Step 5: Solve for x
    x = 2,188,388.02/1,580.94
  6. Step 6: Final answer
    x = 1,384.23

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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.