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Finding the Fourth Proportional to 475.73, 713.93 and 201.89

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Solution

The fourth proportional to 475.73, 713.93 and 201.89 is: 302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.73 : 713.93 = 201.89 : x
  2. Step 2: Convert to fraction form
    475.73/713.93 = 201.89/x
  3. Step 3: Cross multiply
    475.73x = 713.93 × 201.89
  4. Step 4: Simplify right side
    475.73x = 144,134.32
  5. Step 5: Solve for x
    x = 144,134.32/475.73
  6. Step 6: Final answer
    x = 302.98

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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.