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Finding the Fourth Proportional to 986.27, 1,360.44 and 593.21

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Solution

The fourth proportional to 986.27, 1,360.44 and 593.21 is: 818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.27 : 1,360.44 = 593.21 : x
  2. Step 2: Convert to fraction form
    986.27/1,360.44 = 593.21/x
  3. Step 3: Cross multiply
    986.27x = 1,360.44 × 593.21
  4. Step 4: Simplify right side
    986.27x = 807,019.81
  5. Step 5: Solve for x
    x = 807,019.81/986.27
  6. Step 6: Final answer
    x = 818.26

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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.