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Finding the Fourth Proportional to 984, 1,474 and 821.16

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Solution

The fourth proportional to 984, 1,474 and 821.16 is: 1,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984 : 1,474 = 821.16 : x
  2. Step 2: Convert to fraction form
    984/1,474 = 821.16/x
  3. Step 3: Cross multiply
    984x = 1,474 × 821.16
  4. Step 4: Simplify right side
    984x = 1,210,389.84
  5. Step 5: Solve for x
    x = 1,210,389.84/984
  6. Step 6: Final answer
    x = 1,230.07

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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.