Home / 1,497.06-2,246.61-523.16

Finding the Fourth Proportional to 1,497.06, 2,246.61 and 523.16

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Solution

The fourth proportional to 1,497.06, 2,246.61 and 523.16 is: 785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.06 : 2,246.61 = 523.16 : x
  2. Step 2: Convert to fraction form
    1,497.06/2,246.61 = 523.16/x
  3. Step 3: Cross multiply
    1,497.06x = 2,246.61 × 523.16
  4. Step 4: Simplify right side
    1,497.06x = 1,175,333.68
  5. Step 5: Solve for x
    x = 1,175,333.68/1,497.06
  6. Step 6: Final answer
    x = 785.09

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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.