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Finding the Fourth Proportional to 782.70, 1,176.27 and 730.09

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Solution

The fourth proportional to 782.70, 1,176.27 and 730.09 is: 1,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.70 : 1,176.27 = 730.09 : x
  2. Step 2: Convert to fraction form
    782.70/1,176.27 = 730.09/x
  3. Step 3: Cross multiply
    782.70x = 1,176.27 × 730.09
  4. Step 4: Simplify right side
    782.70x = 858,782.96
  5. Step 5: Solve for x
    x = 858,782.96/782.70
  6. Step 6: Final answer
    x = 1,097.21

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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.