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Finding the Fourth Proportional to 745.44, 1,028.50 and 465.72

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Solution

The fourth proportional to 745.44, 1,028.50 and 465.72 is: 642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.44 : 1,028.50 = 465.72 : x
  2. Step 2: Convert to fraction form
    745.44/1,028.50 = 465.72/x
  3. Step 3: Cross multiply
    745.44x = 1,028.50 × 465.72
  4. Step 4: Simplify right side
    745.44x = 478,993.02
  5. Step 5: Solve for x
    x = 478,993.02/745.44
  6. Step 6: Final answer
    x = 642.56

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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.