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Finding the Fourth Proportional to 745.28, 1,028.73 and 434.84

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Solution

The fourth proportional to 745.28, 1,028.73 and 434.84 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.28 : 1,028.73 = 434.84 : x
  2. Step 2: Convert to fraction form
    745.28/1,028.73 = 434.84/x
  3. Step 3: Cross multiply
    745.28x = 1,028.73 × 434.84
  4. Step 4: Simplify right side
    745.28x = 447,332.95
  5. Step 5: Solve for x
    x = 447,332.95/745.28
  6. Step 6: Final answer
    x = 600.22

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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.