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Finding the Fourth Proportional to 1,375.16, 1,897.68 and 785.78

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Solution

The fourth proportional to 1,375.16, 1,897.68 and 785.78 is: 1,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.16 : 1,897.68 = 785.78 : x
  2. Step 2: Convert to fraction form
    1,375.16/1,897.68 = 785.78/x
  3. Step 3: Cross multiply
    1,375.16x = 1,897.68 × 785.78
  4. Step 4: Simplify right side
    1,375.16x = 1,491,158.99
  5. Step 5: Solve for x
    x = 1,491,158.99/1,375.16
  6. Step 6: Final answer
    x = 1,084.35

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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.