Home / 1,280.07-1,919.84-414.18

Finding the Fourth Proportional to 1,280.07, 1,919.84 and 414.18

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Solution

The fourth proportional to 1,280.07, 1,919.84 and 414.18 is: 621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.07 : 1,919.84 = 414.18 : x
  2. Step 2: Convert to fraction form
    1,280.07/1,919.84 = 414.18/x
  3. Step 3: Cross multiply
    1,280.07x = 1,919.84 × 414.18
  4. Step 4: Simplify right side
    1,280.07x = 795,157.26
  5. Step 5: Solve for x
    x = 795,157.26/1,280.07
  6. Step 6: Final answer
    x = 621.18

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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.