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Finding the Fourth Proportional to 1,133.72, 1,701.06 and 475.75

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Solution

The fourth proportional to 1,133.72, 1,701.06 and 475.75 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.72 : 1,701.06 = 475.75 : x
  2. Step 2: Convert to fraction form
    1,133.72/1,701.06 = 475.75/x
  3. Step 3: Cross multiply
    1,133.72x = 1,701.06 × 475.75
  4. Step 4: Simplify right side
    1,133.72x = 809,279.30
  5. Step 5: Solve for x
    x = 809,279.30/1,133.72
  6. Step 6: Final answer
    x = 713.83

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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.