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Finding the Fourth Proportional to 986.96, 1,476.78 and 812.00

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Solution

The fourth proportional to 986.96, 1,476.78 and 812.00 is: 1,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,476.78 = 812.00 : x
  2. Step 2: Convert to fraction form
    986.96/1,476.78 = 812.00/x
  3. Step 3: Cross multiply
    986.96x = 1,476.78 × 812.00
  4. Step 4: Simplify right side
    986.96x = 1,199,137.98
  5. Step 5: Solve for x
    x = 1,199,137.98/986.96
  6. Step 6: Final answer
    x = 1,214.99

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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.