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Finding the Fourth Proportional to 1,869.31, 2,803.97 and 482.55

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Solution

The fourth proportional to 1,869.31, 2,803.97 and 482.55 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.31 : 2,803.97 = 482.55 : x
  2. Step 2: Convert to fraction form
    1,869.31/2,803.97 = 482.55/x
  3. Step 3: Cross multiply
    1,869.31x = 2,803.97 × 482.55
  4. Step 4: Simplify right side
    1,869.31x = 1,353,056.12
  5. Step 5: Solve for x
    x = 1,353,056.12/1,869.31
  6. Step 6: Final answer
    x = 723.83

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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.