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Finding the Fourth Proportional to 534.68, 736.68 and 401.30

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Solution

The fourth proportional to 534.68, 736.68 and 401.30 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 736.68 = 401.30 : x
  2. Step 2: Convert to fraction form
    534.68/736.68 = 401.30/x
  3. Step 3: Cross multiply
    534.68x = 736.68 × 401.30
  4. Step 4: Simplify right side
    534.68x = 295,629.68
  5. Step 5: Solve for x
    x = 295,629.68/534.68
  6. Step 6: Final answer
    x = 552.91

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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.