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Finding the Fourth Proportional to 783.72, 1,177.26 and 475.73

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Solution

The fourth proportional to 783.72, 1,177.26 and 475.73 is: 714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.72 : 1,177.26 = 475.73 : x
  2. Step 2: Convert to fraction form
    783.72/1,177.26 = 475.73/x
  3. Step 3: Cross multiply
    783.72x = 1,177.26 × 475.73
  4. Step 4: Simplify right side
    783.72x = 560,052.01
  5. Step 5: Solve for x
    x = 560,052.01/783.72
  6. Step 6: Final answer
    x = 714.61

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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.