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Finding the Fourth Proportional to 730.85, 1,095.18 and 712.73

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Solution

The fourth proportional to 730.85, 1,095.18 and 712.73 is: 1,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,095.18 = 712.73 : x
  2. Step 2: Convert to fraction form
    730.85/1,095.18 = 712.73/x
  3. Step 3: Cross multiply
    730.85x = 1,095.18 × 712.73
  4. Step 4: Simplify right side
    730.85x = 780,562.17
  5. Step 5: Solve for x
    x = 780,562.17/730.85
  6. Step 6: Final answer
    x = 1,068.03

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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.