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Finding the Fourth Proportional to 1,378.90, 2,068.44 and 649.18

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Solution

The fourth proportional to 1,378.90, 2,068.44 and 649.18 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.90 : 2,068.44 = 649.18 : x
  2. Step 2: Convert to fraction form
    1,378.90/2,068.44 = 649.18/x
  3. Step 3: Cross multiply
    1,378.90x = 2,068.44 × 649.18
  4. Step 4: Simplify right side
    1,378.90x = 1,342,789.88
  5. Step 5: Solve for x
    x = 1,342,789.88/1,378.90
  6. Step 6: Final answer
    x = 973.81

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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.