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Finding the Fourth Proportional to 741.52, 1,023.36 and 431.04

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Solution

The fourth proportional to 741.52, 1,023.36 and 431.04 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.52 : 1,023.36 = 431.04 : x
  2. Step 2: Convert to fraction form
    741.52/1,023.36 = 431.04/x
  3. Step 3: Cross multiply
    741.52x = 1,023.36 × 431.04
  4. Step 4: Simplify right side
    741.52x = 441,109.09
  5. Step 5: Solve for x
    x = 441,109.09/741.52
  6. Step 6: Final answer
    x = 594.87

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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.