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Finding the Fourth Proportional to 2,165.51, 3,248.06 and 605.65

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Solution

The fourth proportional to 2,165.51, 3,248.06 and 605.65 is: 908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.51 : 3,248.06 = 605.65 : x
  2. Step 2: Convert to fraction form
    2,165.51/3,248.06 = 605.65/x
  3. Step 3: Cross multiply
    2,165.51x = 3,248.06 × 605.65
  4. Step 4: Simplify right side
    2,165.51x = 1,967,176.39
  5. Step 5: Solve for x
    x = 1,967,176.39/2,165.51
  6. Step 6: Final answer
    x = 908.41

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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.