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Finding the Fourth Proportional to 1,583.84, 2,185.98 and 1,164.80

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Solution

The fourth proportional to 1,583.84, 2,185.98 and 1,164.80 is: 1,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.84 : 2,185.98 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    1,583.84/2,185.98 = 1,164.80/x
  3. Step 3: Cross multiply
    1,583.84x = 2,185.98 × 1,164.80
  4. Step 4: Simplify right side
    1,583.84x = 2,546,229.50
  5. Step 5: Solve for x
    x = 2,546,229.50/1,583.84
  6. Step 6: Final answer
    x = 1,607.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.