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Finding the Fourth Proportional to 1,050.48, 1,571.58 and 845.46

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Solution

The fourth proportional to 1,050.48, 1,571.58 and 845.46 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.48 : 1,571.58 = 845.46 : x
  2. Step 2: Convert to fraction form
    1,050.48/1,571.58 = 845.46/x
  3. Step 3: Cross multiply
    1,050.48x = 1,571.58 × 845.46
  4. Step 4: Simplify right side
    1,050.48x = 1,328,708.03
  5. Step 5: Solve for x
    x = 1,328,708.03/1,050.48
  6. Step 6: Final answer
    x = 1,264.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.