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Finding the Fourth Proportional to 993.74, 1,371.36 and 600.77

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Solution

The fourth proportional to 993.74, 1,371.36 and 600.77 is: 829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.74 : 1,371.36 = 600.77 : x
  2. Step 2: Convert to fraction form
    993.74/1,371.36 = 600.77/x
  3. Step 3: Cross multiply
    993.74x = 1,371.36 × 600.77
  4. Step 4: Simplify right side
    993.74x = 823,862.09
  5. Step 5: Solve for x
    x = 823,862.09/993.74
  6. Step 6: Final answer
    x = 829.05

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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.