Home / 1,641.24-2,461.80-408.63

Finding the Fourth Proportional to 1,641.24, 2,461.80 and 408.63

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Solution

The fourth proportional to 1,641.24, 2,461.80 and 408.63 is: 612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.24 : 2,461.80 = 408.63 : x
  2. Step 2: Convert to fraction form
    1,641.24/2,461.80 = 408.63/x
  3. Step 3: Cross multiply
    1,641.24x = 2,461.80 × 408.63
  4. Step 4: Simplify right side
    1,641.24x = 1,005,965.33
  5. Step 5: Solve for x
    x = 1,005,965.33/1,641.24
  6. Step 6: Final answer
    x = 612.93

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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.