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Finding the Fourth Proportional to 751.54, 1,121.81 and 697.34

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Solution

The fourth proportional to 751.54, 1,121.81 and 697.34 is: 1,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.54 : 1,121.81 = 697.34 : x
  2. Step 2: Convert to fraction form
    751.54/1,121.81 = 697.34/x
  3. Step 3: Cross multiply
    751.54x = 1,121.81 × 697.34
  4. Step 4: Simplify right side
    751.54x = 782,279.12
  5. Step 5: Solve for x
    x = 782,279.12/751.54
  6. Step 6: Final answer
    x = 1,040.90

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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.