Home / 1,218.73-1,828.86-525.27

Finding the Fourth Proportional to 1,218.73, 1,828.86 and 525.27

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Solution

The fourth proportional to 1,218.73, 1,828.86 and 525.27 is: 788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.73 : 1,828.86 = 525.27 : x
  2. Step 2: Convert to fraction form
    1,218.73/1,828.86 = 525.27/x
  3. Step 3: Cross multiply
    1,218.73x = 1,828.86 × 525.27
  4. Step 4: Simplify right side
    1,218.73x = 960,645.29
  5. Step 5: Solve for x
    x = 960,645.29/1,218.73
  6. Step 6: Final answer
    x = 788.23

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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.