Home / 1,297.67-1,943.80-1,077.75

Finding the Fourth Proportional to 1,297.67, 1,943.80 and 1,077.75

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Solution

The fourth proportional to 1,297.67, 1,943.80 and 1,077.75 is: 1,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.67 : 1,943.80 = 1,077.75 : x
  2. Step 2: Convert to fraction form
    1,297.67/1,943.80 = 1,077.75/x
  3. Step 3: Cross multiply
    1,297.67x = 1,943.80 × 1,077.75
  4. Step 4: Simplify right side
    1,297.67x = 2,094,927.76
  5. Step 5: Solve for x
    x = 2,094,927.76/1,297.67
  6. Step 6: Final answer
    x = 1,614.38

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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.