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Finding the Fourth Proportional to 1,377.90, 2,066.94 and 648.18

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Solution

The fourth proportional to 1,377.90, 2,066.94 and 648.18 is: 972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.90 : 2,066.94 = 648.18 : x
  2. Step 2: Convert to fraction form
    1,377.90/2,066.94 = 648.18/x
  3. Step 3: Cross multiply
    1,377.90x = 2,066.94 × 648.18
  4. Step 4: Simplify right side
    1,377.90x = 1,339,749.17
  5. Step 5: Solve for x
    x = 1,339,749.17/1,377.90
  6. Step 6: Final answer
    x = 972.31

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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.