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Finding the Fourth Proportional to 730.28, 1,005.45 and 680.60

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Solution

The fourth proportional to 730.28, 1,005.45 and 680.60 is: 937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.28 : 1,005.45 = 680.60 : x
  2. Step 2: Convert to fraction form
    730.28/1,005.45 = 680.60/x
  3. Step 3: Cross multiply
    730.28x = 1,005.45 × 680.60
  4. Step 4: Simplify right side
    730.28x = 684,304.24
  5. Step 5: Solve for x
    x = 684,304.24/730.28
  6. Step 6: Final answer
    x = 937.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.