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Finding the Fourth Proportional to 689.06, 1,033.27 and 277.85

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Solution

The fourth proportional to 689.06, 1,033.27 and 277.85 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.06 : 1,033.27 = 277.85 : x
  2. Step 2: Convert to fraction form
    689.06/1,033.27 = 277.85/x
  3. Step 3: Cross multiply
    689.06x = 1,033.27 × 277.85
  4. Step 4: Simplify right side
    689.06x = 287,094.07
  5. Step 5: Solve for x
    x = 287,094.07/689.06
  6. Step 6: Final answer
    x = 416.65

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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.