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Finding the Fourth Proportional to 746.30, 1,029.94 and 414.78

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Solution

The fourth proportional to 746.30, 1,029.94 and 414.78 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.30 : 1,029.94 = 414.78 : x
  2. Step 2: Convert to fraction form
    746.30/1,029.94 = 414.78/x
  3. Step 3: Cross multiply
    746.30x = 1,029.94 × 414.78
  4. Step 4: Simplify right side
    746.30x = 427,198.51
  5. Step 5: Solve for x
    x = 427,198.51/746.30
  6. Step 6: Final answer
    x = 572.42

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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.