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Finding the Fourth Proportional to 751.96, 1,127.48 and 361.84

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Solution

The fourth proportional to 751.96, 1,127.48 and 361.84 is: 542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.96 : 1,127.48 = 361.84 : x
  2. Step 2: Convert to fraction form
    751.96/1,127.48 = 361.84/x
  3. Step 3: Cross multiply
    751.96x = 1,127.48 × 361.84
  4. Step 4: Simplify right side
    751.96x = 407,967.36
  5. Step 5: Solve for x
    x = 407,967.36/751.96
  6. Step 6: Final answer
    x = 542.54

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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.