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Finding the Fourth Proportional to 1,100.53, 1,653.38 and 1,038.26

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Solution

The fourth proportional to 1,100.53, 1,653.38 and 1,038.26 is: 1,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.53 : 1,653.38 = 1,038.26 : x
  2. Step 2: Convert to fraction form
    1,100.53/1,653.38 = 1,038.26/x
  3. Step 3: Cross multiply
    1,100.53x = 1,653.38 × 1,038.26
  4. Step 4: Simplify right side
    1,100.53x = 1,716,638.32
  5. Step 5: Solve for x
    x = 1,716,638.32/1,100.53
  6. Step 6: Final answer
    x = 1,559.83

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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.