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Finding the Fourth Proportional to 662.32, 913.62 and 538.12

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Solution

The fourth proportional to 662.32, 913.62 and 538.12 is: 742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 913.62 = 538.12 : x
  2. Step 2: Convert to fraction form
    662.32/913.62 = 538.12/x
  3. Step 3: Cross multiply
    662.32x = 913.62 × 538.12
  4. Step 4: Simplify right side
    662.32x = 491,637.19
  5. Step 5: Solve for x
    x = 491,637.19/662.32
  6. Step 6: Final answer
    x = 742.30

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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.