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Finding the Fourth Proportional to 746.12, 1,029.78 and 435.80

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Solution

The fourth proportional to 746.12, 1,029.78 and 435.80 is: 601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,029.78 = 435.80 : x
  2. Step 2: Convert to fraction form
    746.12/1,029.78 = 435.80/x
  3. Step 3: Cross multiply
    746.12x = 1,029.78 × 435.80
  4. Step 4: Simplify right side
    746.12x = 448,778.12
  5. Step 5: Solve for x
    x = 448,778.12/746.12
  6. Step 6: Final answer
    x = 601.48

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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.