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Finding the Fourth Proportional to 992.15, 1,485.87 and 786.83

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Solution

The fourth proportional to 992.15, 1,485.87 and 786.83 is: 1,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.15 : 1,485.87 = 786.83 : x
  2. Step 2: Convert to fraction form
    992.15/1,485.87 = 786.83/x
  3. Step 3: Cross multiply
    992.15x = 1,485.87 × 786.83
  4. Step 4: Simplify right side
    992.15x = 1,169,119.66
  5. Step 5: Solve for x
    x = 1,169,119.66/992.15
  6. Step 6: Final answer
    x = 1,178.38

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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.