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Finding the Fourth Proportional to 1,089.05, 1,501.74 and 774.36

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Solution

The fourth proportional to 1,089.05, 1,501.74 and 774.36 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.05 : 1,501.74 = 774.36 : x
  2. Step 2: Convert to fraction form
    1,089.05/1,501.74 = 774.36/x
  3. Step 3: Cross multiply
    1,089.05x = 1,501.74 × 774.36
  4. Step 4: Simplify right side
    1,089.05x = 1,162,887.39
  5. Step 5: Solve for x
    x = 1,162,887.39/1,089.05
  6. Step 6: Final answer
    x = 1,067.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.