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Finding the Fourth Proportional to 986.56, 1,471.68 and 822.40

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Solution

The fourth proportional to 986.56, 1,471.68 and 822.40 is: 1,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,471.68 = 822.40 : x
  2. Step 2: Convert to fraction form
    986.56/1,471.68 = 822.40/x
  3. Step 3: Cross multiply
    986.56x = 1,471.68 × 822.40
  4. Step 4: Simplify right side
    986.56x = 1,210,309.63
  5. Step 5: Solve for x
    x = 1,210,309.63/986.56
  6. Step 6: Final answer
    x = 1,226.80

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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.