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Finding the Fourth Proportional to 918.36, 1,377.53 and 755.70

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Solution

The fourth proportional to 918.36, 1,377.53 and 755.70 is: 1,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.36 : 1,377.53 = 755.70 : x
  2. Step 2: Convert to fraction form
    918.36/1,377.53 = 755.70/x
  3. Step 3: Cross multiply
    918.36x = 1,377.53 × 755.70
  4. Step 4: Simplify right side
    918.36x = 1,040,999.42
  5. Step 5: Solve for x
    x = 1,040,999.42/918.36
  6. Step 6: Final answer
    x = 1,133.54

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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.