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Finding the Fourth Proportional to 1,291.84, 1,783.29 and 768.04

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Solution

The fourth proportional to 1,291.84, 1,783.29 and 768.04 is: 1,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.84 : 1,783.29 = 768.04 : x
  2. Step 2: Convert to fraction form
    1,291.84/1,783.29 = 768.04/x
  3. Step 3: Cross multiply
    1,291.84x = 1,783.29 × 768.04
  4. Step 4: Simplify right side
    1,291.84x = 1,369,638.05
  5. Step 5: Solve for x
    x = 1,369,638.05/1,291.84
  6. Step 6: Final answer
    x = 1,060.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.