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Finding the Fourth Proportional to 1,773.07, 2,657.85 and 677.14

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Solution

The fourth proportional to 1,773.07, 2,657.85 and 677.14 is: 1,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.07 : 2,657.85 = 677.14 : x
  2. Step 2: Convert to fraction form
    1,773.07/2,657.85 = 677.14/x
  3. Step 3: Cross multiply
    1,773.07x = 2,657.85 × 677.14
  4. Step 4: Simplify right side
    1,773.07x = 1,799,736.55
  5. Step 5: Solve for x
    x = 1,799,736.55/1,773.07
  6. Step 6: Final answer
    x = 1,015.04

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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.