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Finding the Fourth Proportional to 1,245.84, 1,869.57 and 552.96

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Solution

The fourth proportional to 1,245.84, 1,869.57 and 552.96 is: 829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.84 : 1,869.57 = 552.96 : x
  2. Step 2: Convert to fraction form
    1,245.84/1,869.57 = 552.96/x
  3. Step 3: Cross multiply
    1,245.84x = 1,869.57 × 552.96
  4. Step 4: Simplify right side
    1,245.84x = 1,033,797.43
  5. Step 5: Solve for x
    x = 1,033,797.43/1,245.84
  6. Step 6: Final answer
    x = 829.80

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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.