Home / 1,340.85-2,011.32-416.40

Finding the Fourth Proportional to 1,340.85, 2,011.32 and 416.40

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Solution

The fourth proportional to 1,340.85, 2,011.32 and 416.40 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.85 : 2,011.32 = 416.40 : x
  2. Step 2: Convert to fraction form
    1,340.85/2,011.32 = 416.40/x
  3. Step 3: Cross multiply
    1,340.85x = 2,011.32 × 416.40
  4. Step 4: Simplify right side
    1,340.85x = 837,513.65
  5. Step 5: Solve for x
    x = 837,513.65/1,340.85
  6. Step 6: Final answer
    x = 624.61

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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.