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Finding the Fourth Proportional to 1,122.54, 1,681.38 and 755.70

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Solution

The fourth proportional to 1,122.54, 1,681.38 and 755.70 is: 1,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.54 : 1,681.38 = 755.70 : x
  2. Step 2: Convert to fraction form
    1,122.54/1,681.38 = 755.70/x
  3. Step 3: Cross multiply
    1,122.54x = 1,681.38 × 755.70
  4. Step 4: Simplify right side
    1,122.54x = 1,270,618.87
  5. Step 5: Solve for x
    x = 1,270,618.87/1,122.54
  6. Step 6: Final answer
    x = 1,131.91

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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.