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Finding the Fourth Proportional to 748.55, 1,122.17 and 309.53

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Solution

The fourth proportional to 748.55, 1,122.17 and 309.53 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.55 : 1,122.17 = 309.53 : x
  2. Step 2: Convert to fraction form
    748.55/1,122.17 = 309.53/x
  3. Step 3: Cross multiply
    748.55x = 1,122.17 × 309.53
  4. Step 4: Simplify right side
    748.55x = 347,342.84
  5. Step 5: Solve for x
    x = 347,342.84/748.55
  6. Step 6: Final answer
    x = 464.02

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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.