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Finding the Fourth Proportional to 745.09, 1,028.16 and 430.28

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Solution

The fourth proportional to 745.09, 1,028.16 and 430.28 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.09 : 1,028.16 = 430.28 : x
  2. Step 2: Convert to fraction form
    745.09/1,028.16 = 430.28/x
  3. Step 3: Cross multiply
    745.09x = 1,028.16 × 430.28
  4. Step 4: Simplify right side
    745.09x = 442,396.68
  5. Step 5: Solve for x
    x = 442,396.68/745.09
  6. Step 6: Final answer
    x = 593.75

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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.