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Finding the Fourth Proportional to 783.54, 1,173.42 and 768.96

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Solution

The fourth proportional to 783.54, 1,173.42 and 768.96 is: 1,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.54 : 1,173.42 = 768.96 : x
  2. Step 2: Convert to fraction form
    783.54/1,173.42 = 768.96/x
  3. Step 3: Cross multiply
    783.54x = 1,173.42 × 768.96
  4. Step 4: Simplify right side
    783.54x = 902,313.04
  5. Step 5: Solve for x
    x = 902,313.04/783.54
  6. Step 6: Final answer
    x = 1,151.59

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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.