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Finding the Fourth Proportional to 497.44, 739.96 and 492.18

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Solution

The fourth proportional to 497.44, 739.96 and 492.18 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 739.96 = 492.18 : x
  2. Step 2: Convert to fraction form
    497.44/739.96 = 492.18/x
  3. Step 3: Cross multiply
    497.44x = 739.96 × 492.18
  4. Step 4: Simplify right side
    497.44x = 364,189.81
  5. Step 5: Solve for x
    x = 364,189.81/497.44
  6. Step 6: Final answer
    x = 732.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.