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Finding the Fourth Proportional to 1,380.14, 2,069.19 and 649.31

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Solution

The fourth proportional to 1,380.14, 2,069.19 and 649.31 is: 973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.14 : 2,069.19 = 649.31 : x
  2. Step 2: Convert to fraction form
    1,380.14/2,069.19 = 649.31/x
  3. Step 3: Cross multiply
    1,380.14x = 2,069.19 × 649.31
  4. Step 4: Simplify right side
    1,380.14x = 1,343,550.93
  5. Step 5: Solve for x
    x = 1,343,550.93/1,380.14
  6. Step 6: Final answer
    x = 973.49

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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.