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Finding the Fourth Proportional to 662.58, 913.68 and 538.25

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Solution

The fourth proportional to 662.58, 913.68 and 538.25 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 913.68 = 538.25 : x
  2. Step 2: Convert to fraction form
    662.58/913.68 = 538.25/x
  3. Step 3: Cross multiply
    662.58x = 913.68 × 538.25
  4. Step 4: Simplify right side
    662.58x = 491,783.69
  5. Step 5: Solve for x
    x = 491,783.69/662.58
  6. Step 6: Final answer
    x = 742.23

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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.