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Finding the Fourth Proportional to 475.72, 713.66 and 183.20

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Solution

The fourth proportional to 475.72, 713.66 and 183.20 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 713.66 = 183.20 : x
  2. Step 2: Convert to fraction form
    475.72/713.66 = 183.20/x
  3. Step 3: Cross multiply
    475.72x = 713.66 × 183.20
  4. Step 4: Simplify right side
    475.72x = 130,742.51
  5. Step 5: Solve for x
    x = 130,742.51/475.72
  6. Step 6: Final answer
    x = 274.83

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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.