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Finding the Fourth Proportional to 1,755.36, 2,629.80 and 974.52

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Solution

The fourth proportional to 1,755.36, 2,629.80 and 974.52 is: 1,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.36 : 2,629.80 = 974.52 : x
  2. Step 2: Convert to fraction form
    1,755.36/2,629.80 = 974.52/x
  3. Step 3: Cross multiply
    1,755.36x = 2,629.80 × 974.52
  4. Step 4: Simplify right side
    1,755.36x = 2,562,792.70
  5. Step 5: Solve for x
    x = 2,562,792.70/1,755.36
  6. Step 6: Final answer
    x = 1,459.98

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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.