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Finding the Fourth Proportional to 745.02, 1,115.55 and 549.54

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Solution

The fourth proportional to 745.02, 1,115.55 and 549.54 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.02 : 1,115.55 = 549.54 : x
  2. Step 2: Convert to fraction form
    745.02/1,115.55 = 549.54/x
  3. Step 3: Cross multiply
    745.02x = 1,115.55 × 549.54
  4. Step 4: Simplify right side
    745.02x = 613,039.35
  5. Step 5: Solve for x
    x = 613,039.35/745.02
  6. Step 6: Final answer
    x = 822.85

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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.