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Finding the Fourth Proportional to 745.63, 1,028.97 and 414.05

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Solution

The fourth proportional to 745.63, 1,028.97 and 414.05 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.63 : 1,028.97 = 414.05 : x
  2. Step 2: Convert to fraction form
    745.63/1,028.97 = 414.05/x
  3. Step 3: Cross multiply
    745.63x = 1,028.97 × 414.05
  4. Step 4: Simplify right side
    745.63x = 426,039.88
  5. Step 5: Solve for x
    x = 426,039.88/745.63
  6. Step 6: Final answer
    x = 571.38

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1.5x scale

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.