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Finding the Fourth Proportional to 676.65, 1,009.98 and 627.09

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Solution

The fourth proportional to 676.65, 1,009.98 and 627.09 is: 936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.65 : 1,009.98 = 627.09 : x
  2. Step 2: Convert to fraction form
    676.65/1,009.98 = 627.09/x
  3. Step 3: Cross multiply
    676.65x = 1,009.98 × 627.09
  4. Step 4: Simplify right side
    676.65x = 633,348.36
  5. Step 5: Solve for x
    x = 633,348.36/676.65
  6. Step 6: Final answer
    x = 936.01

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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.