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Finding the Fourth Proportional to 993.50, 1,371.06 and 600.32

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Solution

The fourth proportional to 993.50, 1,371.06 and 600.32 is: 828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.50 : 1,371.06 = 600.32 : x
  2. Step 2: Convert to fraction form
    993.50/1,371.06 = 600.32/x
  3. Step 3: Cross multiply
    993.50x = 1,371.06 × 600.32
  4. Step 4: Simplify right side
    993.50x = 823,074.74
  5. Step 5: Solve for x
    x = 823,074.74/993.50
  6. Step 6: Final answer
    x = 828.46

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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.