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Finding the Fourth Proportional to 1,781.89, 2,674.05 and 627.64

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Solution

The fourth proportional to 1,781.89, 2,674.05 and 627.64 is: 941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.89 : 2,674.05 = 627.64 : x
  2. Step 2: Convert to fraction form
    1,781.89/2,674.05 = 627.64/x
  3. Step 3: Cross multiply
    1,781.89x = 2,674.05 × 627.64
  4. Step 4: Simplify right side
    1,781.89x = 1,678,340.74
  5. Step 5: Solve for x
    x = 1,678,340.74/1,781.89
  6. Step 6: Final answer
    x = 941.89

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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.