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Finding the Fourth Proportional to 902.96, 1,355.64 and 492.32

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Solution

The fourth proportional to 902.96, 1,355.64 and 492.32 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.96 : 1,355.64 = 492.32 : x
  2. Step 2: Convert to fraction form
    902.96/1,355.64 = 492.32/x
  3. Step 3: Cross multiply
    902.96x = 1,355.64 × 492.32
  4. Step 4: Simplify right side
    902.96x = 667,408.68
  5. Step 5: Solve for x
    x = 667,408.68/902.96
  6. Step 6: Final answer
    x = 739.13

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Why These Related Problems?

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