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Finding the Fourth Proportional to 1,515.78, 2,273.75 and 475.89

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Solution

The fourth proportional to 1,515.78, 2,273.75 and 475.89 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.78 : 2,273.75 = 475.89 : x
  2. Step 2: Convert to fraction form
    1,515.78/2,273.75 = 475.89/x
  3. Step 3: Cross multiply
    1,515.78x = 2,273.75 × 475.89
  4. Step 4: Simplify right side
    1,515.78x = 1,082,052.51
  5. Step 5: Solve for x
    x = 1,082,052.51/1,515.78
  6. Step 6: Final answer
    x = 713.86

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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.