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Finding the Fourth Proportional to 1,271.88, 1,906.74 and 783.90

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Solution

The fourth proportional to 1,271.88, 1,906.74 and 783.90 is: 1,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.88 : 1,906.74 = 783.90 : x
  2. Step 2: Convert to fraction form
    1,271.88/1,906.74 = 783.90/x
  3. Step 3: Cross multiply
    1,271.88x = 1,906.74 × 783.90
  4. Step 4: Simplify right side
    1,271.88x = 1,494,693.49
  5. Step 5: Solve for x
    x = 1,494,693.49/1,271.88
  6. Step 6: Final answer
    x = 1,175.18

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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.