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Finding the Fourth Proportional to 1,546.84, 2,320.12 and 806.46

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Solution

The fourth proportional to 1,546.84, 2,320.12 and 806.46 is: 1,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.84 : 2,320.12 = 806.46 : x
  2. Step 2: Convert to fraction form
    1,546.84/2,320.12 = 806.46/x
  3. Step 3: Cross multiply
    1,546.84x = 2,320.12 × 806.46
  4. Step 4: Simplify right side
    1,546.84x = 1,871,083.98
  5. Step 5: Solve for x
    x = 1,871,083.98/1,546.84
  6. Step 6: Final answer
    x = 1,209.62

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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.