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Finding the Fourth Proportional to 1,740.39, 2,611.84 and 686.36

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Solution

The fourth proportional to 1,740.39, 2,611.84 and 686.36 is: 1,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.39 : 2,611.84 = 686.36 : x
  2. Step 2: Convert to fraction form
    1,740.39/2,611.84 = 686.36/x
  3. Step 3: Cross multiply
    1,740.39x = 2,611.84 × 686.36
  4. Step 4: Simplify right side
    1,740.39x = 1,792,662.50
  5. Step 5: Solve for x
    x = 1,792,662.50/1,740.39
  6. Step 6: Final answer
    x = 1,030.03

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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.