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Finding the Fourth Proportional to 745.25, 1,028.42 and 430.51

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Solution

The fourth proportional to 745.25, 1,028.42 and 430.51 is: 594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,028.42 = 430.51 : x
  2. Step 2: Convert to fraction form
    745.25/1,028.42 = 430.51/x
  3. Step 3: Cross multiply
    745.25x = 1,028.42 × 430.51
  4. Step 4: Simplify right side
    745.25x = 442,745.09
  5. Step 5: Solve for x
    x = 442,745.09/745.25
  6. Step 6: Final answer
    x = 594.09

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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.