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Finding the Fourth Proportional to 662.53, 913.83 and 538.19

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Solution

The fourth proportional to 662.53, 913.83 and 538.19 is: 742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.53 : 913.83 = 538.19 : x
  2. Step 2: Convert to fraction form
    662.53/913.83 = 538.19/x
  3. Step 3: Cross multiply
    662.53x = 913.83 × 538.19
  4. Step 4: Simplify right side
    662.53x = 491,814.17
  5. Step 5: Solve for x
    x = 491,814.17/662.53
  6. Step 6: Final answer
    x = 742.33

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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.