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Finding the Fourth Proportional to 1,675.74, 2,511.74 and 786.71

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Solution

The fourth proportional to 1,675.74, 2,511.74 and 786.71 is: 1,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.74 : 2,511.74 = 786.71 : x
  2. Step 2: Convert to fraction form
    1,675.74/2,511.74 = 786.71/x
  3. Step 3: Cross multiply
    1,675.74x = 2,511.74 × 786.71
  4. Step 4: Simplify right side
    1,675.74x = 1,975,994.48
  5. Step 5: Solve for x
    x = 1,975,994.48/1,675.74
  6. Step 6: Final answer
    x = 1,179.18

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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.