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Finding the Fourth Proportional to 538.03, 743.14 and 407.62

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Solution

The fourth proportional to 538.03, 743.14 and 407.62 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.03 : 743.14 = 407.62 : x
  2. Step 2: Convert to fraction form
    538.03/743.14 = 407.62/x
  3. Step 3: Cross multiply
    538.03x = 743.14 × 407.62
  4. Step 4: Simplify right side
    538.03x = 302,918.73
  5. Step 5: Solve for x
    x = 302,918.73/538.03
  6. Step 6: Final answer
    x = 563.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.