Home / 1,285.24-1,928.26-407.88

Finding the Fourth Proportional to 1,285.24, 1,928.26 and 407.88

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Solution

The fourth proportional to 1,285.24, 1,928.26 and 407.88 is: 611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.24 : 1,928.26 = 407.88 : x
  2. Step 2: Convert to fraction form
    1,285.24/1,928.26 = 407.88/x
  3. Step 3: Cross multiply
    1,285.24x = 1,928.26 × 407.88
  4. Step 4: Simplify right side
    1,285.24x = 786,498.69
  5. Step 5: Solve for x
    x = 786,498.69/1,285.24
  6. Step 6: Final answer
    x = 611.95

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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.