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Finding the Fourth Proportional to 497.44, 746.48 and 428.96

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Solution

The fourth proportional to 497.44, 746.48 and 428.96 is: 643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 746.48 = 428.96 : x
  2. Step 2: Convert to fraction form
    497.44/746.48 = 428.96/x
  3. Step 3: Cross multiply
    497.44x = 746.48 × 428.96
  4. Step 4: Simplify right side
    497.44x = 320,210.06
  5. Step 5: Solve for x
    x = 320,210.06/497.44
  6. Step 6: Final answer
    x = 643.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.