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Finding the Fourth Proportional to 1,074.94, 1,611.94 and 612.93

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Solution

The fourth proportional to 1,074.94, 1,611.94 and 612.93 is: 919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.94 : 1,611.94 = 612.93 : x
  2. Step 2: Convert to fraction form
    1,074.94/1,611.94 = 612.93/x
  3. Step 3: Cross multiply
    1,074.94x = 1,611.94 × 612.93
  4. Step 4: Simplify right side
    1,074.94x = 988,006.38
  5. Step 5: Solve for x
    x = 988,006.38/1,074.94
  6. Step 6: Final answer
    x = 919.13

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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.