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Finding the Fourth Proportional to 1,380.33, 2,068.61 and 648.63

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Solution

The fourth proportional to 1,380.33, 2,068.61 and 648.63 is: 972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.33 : 2,068.61 = 648.63 : x
  2. Step 2: Convert to fraction form
    1,380.33/2,068.61 = 648.63/x
  3. Step 3: Cross multiply
    1,380.33x = 2,068.61 × 648.63
  4. Step 4: Simplify right side
    1,380.33x = 1,341,759.26
  5. Step 5: Solve for x
    x = 1,341,759.26/1,380.33
  6. Step 6: Final answer
    x = 972.06

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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.