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Finding the Fourth Proportional to 986.23, 1,361.00 and 538.10

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Solution

The fourth proportional to 986.23, 1,361.00 and 538.10 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.23 : 1,361.00 = 538.10 : x
  2. Step 2: Convert to fraction form
    986.23/1,361.00 = 538.10/x
  3. Step 3: Cross multiply
    986.23x = 1,361.00 × 538.10
  4. Step 4: Simplify right side
    986.23x = 732,353.74
  5. Step 5: Solve for x
    x = 732,353.74/986.23
  6. Step 6: Final answer
    x = 742.58

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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.