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Finding the Fourth Proportional to 748.72, 1,122.36 and 406

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Solution

The fourth proportional to 748.72, 1,122.36 and 406 is: 608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.72 : 1,122.36 = 406 : x
  2. Step 2: Convert to fraction form
    748.72/1,122.36 = 406/x
  3. Step 3: Cross multiply
    748.72x = 1,122.36 × 406
  4. Step 4: Simplify right side
    748.72x = 455,678.16
  5. Step 5: Solve for x
    x = 455,678.16/748.72
  6. Step 6: Final answer
    x = 608.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.