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Finding the Fourth Proportional to 1,618.07, 2,426.80 and 447.79

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Solution

The fourth proportional to 1,618.07, 2,426.80 and 447.79 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.07 : 2,426.80 = 447.79 : x
  2. Step 2: Convert to fraction form
    1,618.07/2,426.80 = 447.79/x
  3. Step 3: Cross multiply
    1,618.07x = 2,426.80 × 447.79
  4. Step 4: Simplify right side
    1,618.07x = 1,086,696.77
  5. Step 5: Solve for x
    x = 1,086,696.77/1,618.07
  6. Step 6: Final answer
    x = 671.60

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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.