Home / 1,052.25-1,578.78-403.04

Finding the Fourth Proportional to 1,052.25, 1,578.78 and 403.04

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Solution

The fourth proportional to 1,052.25, 1,578.78 and 403.04 is: 604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.25 : 1,578.78 = 403.04 : x
  2. Step 2: Convert to fraction form
    1,052.25/1,578.78 = 403.04/x
  3. Step 3: Cross multiply
    1,052.25x = 1,578.78 × 403.04
  4. Step 4: Simplify right side
    1,052.25x = 636,303.60
  5. Step 5: Solve for x
    x = 636,303.60/1,052.25
  6. Step 6: Final answer
    x = 604.71

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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.