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Finding the Fourth Proportional to 1,375.80, 1,898.62 and 770.14

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Solution

The fourth proportional to 1,375.80, 1,898.62 and 770.14 is: 1,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.80 : 1,898.62 = 770.14 : x
  2. Step 2: Convert to fraction form
    1,375.80/1,898.62 = 770.14/x
  3. Step 3: Cross multiply
    1,375.80x = 1,898.62 × 770.14
  4. Step 4: Simplify right side
    1,375.80x = 1,462,203.21
  5. Step 5: Solve for x
    x = 1,462,203.21/1,375.80
  6. Step 6: Final answer
    x = 1,062.80

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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.