Home / 1,340.77-2,011.44-416.35

Finding the Fourth Proportional to 1,340.77, 2,011.44 and 416.35

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Solution

The fourth proportional to 1,340.77, 2,011.44 and 416.35 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.77 : 2,011.44 = 416.35 : x
  2. Step 2: Convert to fraction form
    1,340.77/2,011.44 = 416.35/x
  3. Step 3: Cross multiply
    1,340.77x = 2,011.44 × 416.35
  4. Step 4: Simplify right side
    1,340.77x = 837,463.04
  5. Step 5: Solve for x
    x = 837,463.04/1,340.77
  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.