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Finding the Fourth Proportional to 492.27, 737.53 and 438.64

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Solution

The fourth proportional to 492.27, 737.53 and 438.64 is: 657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.27 : 737.53 = 438.64 : x
  2. Step 2: Convert to fraction form
    492.27/737.53 = 438.64/x
  3. Step 3: Cross multiply
    492.27x = 737.53 × 438.64
  4. Step 4: Simplify right side
    492.27x = 323,507.22
  5. Step 5: Solve for x
    x = 323,507.22/492.27
  6. Step 6: Final answer
    x = 657.18

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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.