Home / 1,285.33-1,928.10-505.28

Finding the Fourth Proportional to 1,285.33, 1,928.10 and 505.28

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Solution

The fourth proportional to 1,285.33, 1,928.10 and 505.28 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.33 : 1,928.10 = 505.28 : x
  2. Step 2: Convert to fraction form
    1,285.33/1,928.10 = 505.28/x
  3. Step 3: Cross multiply
    1,285.33x = 1,928.10 × 505.28
  4. Step 4: Simplify right side
    1,285.33x = 974,230.37
  5. Step 5: Solve for x
    x = 974,230.37/1,285.33
  6. Step 6: Final answer
    x = 757.96

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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.