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Finding the Fourth Proportional to 985.98, 1,477.62 and 768.54

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Solution

The fourth proportional to 985.98, 1,477.62 and 768.54 is: 1,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.98 : 1,477.62 = 768.54 : x
  2. Step 2: Convert to fraction form
    985.98/1,477.62 = 768.54/x
  3. Step 3: Cross multiply
    985.98x = 1,477.62 × 768.54
  4. Step 4: Simplify right side
    985.98x = 1,135,610.07
  5. Step 5: Solve for x
    x = 1,135,610.07/985.98
  6. Step 6: Final answer
    x = 1,151.76

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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.