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Finding the Fourth Proportional to 1,099.55, 1,516.82 and 745.49

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Solution

The fourth proportional to 1,099.55, 1,516.82 and 745.49 is: 1,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.55 : 1,516.82 = 745.49 : x
  2. Step 2: Convert to fraction form
    1,099.55/1,516.82 = 745.49/x
  3. Step 3: Cross multiply
    1,099.55x = 1,516.82 × 745.49
  4. Step 4: Simplify right side
    1,099.55x = 1,130,774.21
  5. Step 5: Solve for x
    x = 1,130,774.21/1,099.55
  6. Step 6: Final answer
    x = 1,028.39

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1.5x scale

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.