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Finding the Fourth Proportional to 746.23, 1,029.75 and 414.67

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Solution

The fourth proportional to 746.23, 1,029.75 and 414.67 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.23 : 1,029.75 = 414.67 : x
  2. Step 2: Convert to fraction form
    746.23/1,029.75 = 414.67/x
  3. Step 3: Cross multiply
    746.23x = 1,029.75 × 414.67
  4. Step 4: Simplify right side
    746.23x = 427,006.43
  5. Step 5: Solve for x
    x = 427,006.43/746.23
  6. Step 6: Final answer
    x = 572.22

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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.