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Finding the Fourth Proportional to 751.46, 1,119.24 and 712.44

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Solution

The fourth proportional to 751.46, 1,119.24 and 712.44 is: 1,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.46 : 1,119.24 = 712.44 : x
  2. Step 2: Convert to fraction form
    751.46/1,119.24 = 712.44/x
  3. Step 3: Cross multiply
    751.46x = 1,119.24 × 712.44
  4. Step 4: Simplify right side
    751.46x = 797,391.35
  5. Step 5: Solve for x
    x = 797,391.35/751.46
  6. Step 6: Final answer
    x = 1,061.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.