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Finding the Fourth Proportional to 786.95, 1,174.47 and 768.52

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Solution

The fourth proportional to 786.95, 1,174.47 and 768.52 is: 1,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.95 : 1,174.47 = 768.52 : x
  2. Step 2: Convert to fraction form
    786.95/1,174.47 = 768.52/x
  3. Step 3: Cross multiply
    786.95x = 1,174.47 × 768.52
  4. Step 4: Simplify right side
    786.95x = 902,602.27
  5. Step 5: Solve for x
    x = 902,602.27/786.95
  6. Step 6: Final answer
    x = 1,146.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.