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Finding the Fourth Proportional to 1,740.66, 2,611.89 and 767.58

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Solution

The fourth proportional to 1,740.66, 2,611.89 and 767.58 is: 1,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.66 : 2,611.89 = 767.58 : x
  2. Step 2: Convert to fraction form
    1,740.66/2,611.89 = 767.58/x
  3. Step 3: Cross multiply
    1,740.66x = 2,611.89 × 767.58
  4. Step 4: Simplify right side
    1,740.66x = 2,004,834.53
  5. Step 5: Solve for x
    x = 2,004,834.53/1,740.66
  6. Step 6: Final answer
    x = 1,151.77

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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.