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Finding the Fourth Proportional to 1,611.74, 2,420.58 and 996.95

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Solution

The fourth proportional to 1,611.74, 2,420.58 and 996.95 is: 1,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.74 : 2,420.58 = 996.95 : x
  2. Step 2: Convert to fraction form
    1,611.74/2,420.58 = 996.95/x
  3. Step 3: Cross multiply
    1,611.74x = 2,420.58 × 996.95
  4. Step 4: Simplify right side
    1,611.74x = 2,413,197.23
  5. Step 5: Solve for x
    x = 2,413,197.23/1,611.74
  6. Step 6: Final answer
    x = 1,497.26

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1.5x scale

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.