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Finding the Fourth Proportional to 475.89, 713.72 and 183.28

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Solution

The fourth proportional to 475.89, 713.72 and 183.28 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.89 : 713.72 = 183.28 : x
  2. Step 2: Convert to fraction form
    475.89/713.72 = 183.28/x
  3. Step 3: Cross multiply
    475.89x = 713.72 × 183.28
  4. Step 4: Simplify right side
    475.89x = 130,807.90
  5. Step 5: Solve for x
    x = 130,807.90/475.89
  6. Step 6: Final answer
    x = 274.87

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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.