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Finding the Fourth Proportional to 1,611.75, 2,415.57 and 686.22

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Solution

The fourth proportional to 1,611.75, 2,415.57 and 686.22 is: 1,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.75 : 2,415.57 = 686.22 : x
  2. Step 2: Convert to fraction form
    1,611.75/2,415.57 = 686.22/x
  3. Step 3: Cross multiply
    1,611.75x = 2,415.57 × 686.22
  4. Step 4: Simplify right side
    1,611.75x = 1,657,612.45
  5. Step 5: Solve for x
    x = 1,657,612.45/1,611.75
  6. Step 6: Final answer
    x = 1,028.46

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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.