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Finding the Fourth Proportional to 1,781.70, 2,670.72 and 626.64

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Solution

The fourth proportional to 1,781.70, 2,670.72 and 626.64 is: 939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.70 : 2,670.72 = 626.64 : x
  2. Step 2: Convert to fraction form
    1,781.70/2,670.72 = 626.64/x
  3. Step 3: Cross multiply
    1,781.70x = 2,670.72 × 626.64
  4. Step 4: Simplify right side
    1,781.70x = 1,673,579.98
  5. Step 5: Solve for x
    x = 1,673,579.98/1,781.70
  6. Step 6: Final answer
    x = 939.32

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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.