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Finding the Fourth Proportional to 746.28, 1,029.82 and 435.80

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Solution

The fourth proportional to 746.28, 1,029.82 and 435.80 is: 601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.28 : 1,029.82 = 435.80 : x
  2. Step 2: Convert to fraction form
    746.28/1,029.82 = 435.80/x
  3. Step 3: Cross multiply
    746.28x = 1,029.82 × 435.80
  4. Step 4: Simplify right side
    746.28x = 448,795.56
  5. Step 5: Solve for x
    x = 448,795.56/746.28
  6. Step 6: Final answer
    x = 601.38

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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.