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Finding the Fourth Proportional to 1,375.26, 1,897.82 and 785.80

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Solution

The fourth proportional to 1,375.26, 1,897.82 and 785.80 is: 1,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.26 : 1,897.82 = 785.80 : x
  2. Step 2: Convert to fraction form
    1,375.26/1,897.82 = 785.80/x
  3. Step 3: Cross multiply
    1,375.26x = 1,897.82 × 785.80
  4. Step 4: Simplify right side
    1,375.26x = 1,491,306.96
  5. Step 5: Solve for x
    x = 1,491,306.96/1,375.26
  6. Step 6: Final answer
    x = 1,084.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.