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Finding the Fourth Proportional to 1,558.68, 2,148.83 and 1,245

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Solution

The fourth proportional to 1,558.68, 2,148.83 and 1,245 is: 1,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.68 : 2,148.83 = 1,245 : x
  2. Step 2: Convert to fraction form
    1,558.68/2,148.83 = 1,245/x
  3. Step 3: Cross multiply
    1,558.68x = 2,148.83 × 1,245
  4. Step 4: Simplify right side
    1,558.68x = 2,675,287.13
  5. Step 5: Solve for x
    x = 2,675,287.13/1,558.68
  6. Step 6: Final answer
    x = 1,716.38

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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.