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Finding the Fourth Proportional to 1,100.37, 1,652.99 and 897.87

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Solution

The fourth proportional to 1,100.37, 1,652.99 and 897.87 is: 1,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.37 : 1,652.99 = 897.87 : x
  2. Step 2: Convert to fraction form
    1,100.37/1,652.99 = 897.87/x
  3. Step 3: Cross multiply
    1,100.37x = 1,652.99 × 897.87
  4. Step 4: Simplify right side
    1,100.37x = 1,484,170.13
  5. Step 5: Solve for x
    x = 1,484,170.13/1,100.37
  6. Step 6: Final answer
    x = 1,348.79

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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.