Home / 1,340.85-2,011.46-416.47

Finding the Fourth Proportional to 1,340.85, 2,011.46 and 416.47

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Solution

The fourth proportional to 1,340.85, 2,011.46 and 416.47 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.85 : 2,011.46 = 416.47 : x
  2. Step 2: Convert to fraction form
    1,340.85/2,011.46 = 416.47/x
  3. Step 3: Cross multiply
    1,340.85x = 2,011.46 × 416.47
  4. Step 4: Simplify right side
    1,340.85x = 837,712.75
  5. Step 5: Solve for x
    x = 837,712.75/1,340.85
  6. Step 6: Final answer
    x = 624.76

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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.