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Finding the Fourth Proportional to 540.34, 744 and 407.75

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Solution

The fourth proportional to 540.34, 744 and 407.75 is: 561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 744 = 407.75 : x
  2. Step 2: Convert to fraction form
    540.34/744 = 407.75/x
  3. Step 3: Cross multiply
    540.34x = 744 × 407.75
  4. Step 4: Simplify right side
    540.34x = 303,366
  5. Step 5: Solve for x
    x = 303,366/540.34
  6. Step 6: Final answer
    x = 561.44

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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.