Home / 1,505.23-2,258.01-518.12

Finding the Fourth Proportional to 1,505.23, 2,258.01 and 518.12

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Solution

The fourth proportional to 1,505.23, 2,258.01 and 518.12 is: 777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.23 : 2,258.01 = 518.12 : x
  2. Step 2: Convert to fraction form
    1,505.23/2,258.01 = 518.12/x
  3. Step 3: Cross multiply
    1,505.23x = 2,258.01 × 518.12
  4. Step 4: Simplify right side
    1,505.23x = 1,169,920.14
  5. Step 5: Solve for x
    x = 1,169,920.14/1,505.23
  6. Step 6: Final answer
    x = 777.24

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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.