Home / 1,285.53-1,928.38-505.47

Finding the Fourth Proportional to 1,285.53, 1,928.38 and 505.47

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Solution

The fourth proportional to 1,285.53, 1,928.38 and 505.47 is: 758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.53 : 1,928.38 = 505.47 : x
  2. Step 2: Convert to fraction form
    1,285.53/1,928.38 = 505.47/x
  3. Step 3: Cross multiply
    1,285.53x = 1,928.38 × 505.47
  4. Step 4: Simplify right side
    1,285.53x = 974,738.24
  5. Step 5: Solve for x
    x = 974,738.24/1,285.53
  6. Step 6: Final answer
    x = 758.24

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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.