Home / 1,619.06-2,428.72-523.40

Finding the Fourth Proportional to 1,619.06, 2,428.72 and 523.40

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Solution

The fourth proportional to 1,619.06, 2,428.72 and 523.40 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.06 : 2,428.72 = 523.40 : x
  2. Step 2: Convert to fraction form
    1,619.06/2,428.72 = 523.40/x
  3. Step 3: Cross multiply
    1,619.06x = 2,428.72 × 523.40
  4. Step 4: Simplify right side
    1,619.06x = 1,271,192.05
  5. Step 5: Solve for x
    x = 1,271,192.05/1,619.06
  6. Step 6: Final answer
    x = 785.14

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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.