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Finding the Fourth Proportional to 986.92, 1,477.82 and 679.72

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Solution

The fourth proportional to 986.92, 1,477.82 and 679.72 is: 1,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.92 : 1,477.82 = 679.72 : x
  2. Step 2: Convert to fraction form
    986.92/1,477.82 = 679.72/x
  3. Step 3: Cross multiply
    986.92x = 1,477.82 × 679.72
  4. Step 4: Simplify right side
    986.92x = 1,004,503.81
  5. Step 5: Solve for x
    x = 1,004,503.81/986.92
  6. Step 6: Final answer
    x = 1,017.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.