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Finding the Fourth Proportional to 745.49, 1,120.77 and 609.53

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Solution

The fourth proportional to 745.49, 1,120.77 and 609.53 is: 916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.49 : 1,120.77 = 609.53 : x
  2. Step 2: Convert to fraction form
    745.49/1,120.77 = 609.53/x
  3. Step 3: Cross multiply
    745.49x = 1,120.77 × 609.53
  4. Step 4: Simplify right side
    745.49x = 683,137.33
  5. Step 5: Solve for x
    x = 683,137.33/745.49
  6. Step 6: Final answer
    x = 916.36

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Why These Related Problems?

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