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Finding the Fourth Proportional to 1,896.88, 2,845.68 and 598.72

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Solution

The fourth proportional to 1,896.88, 2,845.68 and 598.72 is: 898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.88 : 2,845.68 = 598.72 : x
  2. Step 2: Convert to fraction form
    1,896.88/2,845.68 = 598.72/x
  3. Step 3: Cross multiply
    1,896.88x = 2,845.68 × 598.72
  4. Step 4: Simplify right side
    1,896.88x = 1,703,765.53
  5. Step 5: Solve for x
    x = 1,703,765.53/1,896.88
  6. Step 6: Final answer
    x = 898.19

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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.