Home / 1,218.87-1,826.78-524.75

Finding the Fourth Proportional to 1,218.87, 1,826.78 and 524.75

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Solution

The fourth proportional to 1,218.87, 1,826.78 and 524.75 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.87 : 1,826.78 = 524.75 : x
  2. Step 2: Convert to fraction form
    1,218.87/1,826.78 = 524.75/x
  3. Step 3: Cross multiply
    1,218.87x = 1,826.78 × 524.75
  4. Step 4: Simplify right side
    1,218.87x = 958,591.05
  5. Step 5: Solve for x
    x = 958,591.05/1,218.87
  6. Step 6: Final answer
    x = 786.46

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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.