Home / 1,460.23-2,190.75-905.38

Finding the Fourth Proportional to 1,460.23, 2,190.75 and 905.38

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Solution

The fourth proportional to 1,460.23, 2,190.75 and 905.38 is: 1,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.23 : 2,190.75 = 905.38 : x
  2. Step 2: Convert to fraction form
    1,460.23/2,190.75 = 905.38/x
  3. Step 3: Cross multiply
    1,460.23x = 2,190.75 × 905.38
  4. Step 4: Simplify right side
    1,460.23x = 1,983,452.36
  5. Step 5: Solve for x
    x = 1,983,452.36/1,460.23
  6. Step 6: Final answer
    x = 1,358.32

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1.5x scale

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.