Home / 1,284.78-1,928.26-505.32

Finding the Fourth Proportional to 1,284.78, 1,928.26 and 505.32

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Solution

The fourth proportional to 1,284.78, 1,928.26 and 505.32 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.78 : 1,928.26 = 505.32 : x
  2. Step 2: Convert to fraction form
    1,284.78/1,928.26 = 505.32/x
  3. Step 3: Cross multiply
    1,284.78x = 1,928.26 × 505.32
  4. Step 4: Simplify right side
    1,284.78x = 974,385.82
  5. Step 5: Solve for x
    x = 974,385.82/1,284.78
  6. Step 6: Final answer
    x = 758.41

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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.