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Finding the Fourth Proportional to 1,706.54, 2,557.74 and 780.80

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Solution

The fourth proportional to 1,706.54, 2,557.74 and 780.80 is: 1,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.54 : 2,557.74 = 780.80 : x
  2. Step 2: Convert to fraction form
    1,706.54/2,557.74 = 780.80/x
  3. Step 3: Cross multiply
    1,706.54x = 2,557.74 × 780.80
  4. Step 4: Simplify right side
    1,706.54x = 1,997,083.39
  5. Step 5: Solve for x
    x = 1,997,083.39/1,706.54
  6. Step 6: Final answer
    x = 1,170.25

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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.