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Finding the Fourth Proportional to 730.15, 1,005.28 and 680.47

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Solution

The fourth proportional to 730.15, 1,005.28 and 680.47 is: 936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.15 : 1,005.28 = 680.47 : x
  2. Step 2: Convert to fraction form
    730.15/1,005.28 = 680.47/x
  3. Step 3: Cross multiply
    730.15x = 1,005.28 × 680.47
  4. Step 4: Simplify right side
    730.15x = 684,062.88
  5. Step 5: Solve for x
    x = 684,062.88/730.15
  6. Step 6: Final answer
    x = 936.88

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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.