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Finding the Fourth Proportional to 730.92, 1,088.79 and 689.88

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Solution

The fourth proportional to 730.92, 1,088.79 and 689.88 is: 1,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.92 : 1,088.79 = 689.88 : x
  2. Step 2: Convert to fraction form
    730.92/1,088.79 = 689.88/x
  3. Step 3: Cross multiply
    730.92x = 1,088.79 × 689.88
  4. Step 4: Simplify right side
    730.92x = 751,134.45
  5. Step 5: Solve for x
    x = 751,134.45/730.92
  6. Step 6: Final answer
    x = 1,027.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.