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Finding the Fourth Proportional to 492.23, 737.40 and 475.74

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Solution

The fourth proportional to 492.23, 737.40 and 475.74 is: 712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.23 : 737.40 = 475.74 : x
  2. Step 2: Convert to fraction form
    492.23/737.40 = 475.74/x
  3. Step 3: Cross multiply
    492.23x = 737.40 × 475.74
  4. Step 4: Simplify right side
    492.23x = 350,810.68
  5. Step 5: Solve for x
    x = 350,810.68/492.23
  6. Step 6: Final answer
    x = 712.70

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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.