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Finding the Fourth Proportional to 1,375.20, 1,897.74 and 785.79

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Solution

The fourth proportional to 1,375.20, 1,897.74 and 785.79 is: 1,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.20 : 1,897.74 = 785.79 : x
  2. Step 2: Convert to fraction form
    1,375.20/1,897.74 = 785.79/x
  3. Step 3: Cross multiply
    1,375.20x = 1,897.74 × 785.79
  4. Step 4: Simplify right side
    1,375.20x = 1,491,225.11
  5. Step 5: Solve for x
    x = 1,491,225.11/1,375.20
  6. Step 6: Final answer
    x = 1,084.37

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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.