Home / 1,285.20-1,928.08-419.52

Finding the Fourth Proportional to 1,285.20, 1,928.08 and 419.52

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Solution

The fourth proportional to 1,285.20, 1,928.08 and 419.52 is: 629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.20 : 1,928.08 = 419.52 : x
  2. Step 2: Convert to fraction form
    1,285.20/1,928.08 = 419.52/x
  3. Step 3: Cross multiply
    1,285.20x = 1,928.08 × 419.52
  4. Step 4: Simplify right side
    1,285.20x = 808,868.12
  5. Step 5: Solve for x
    x = 808,868.12/1,285.20
  6. Step 6: Final answer
    x = 629.37

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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.