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Finding the Fourth Proportional to 2,165.93, 3,248.88 and 605.93

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Solution

The fourth proportional to 2,165.93, 3,248.88 and 605.93 is: 908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.93 : 3,248.88 = 605.93 : x
  2. Step 2: Convert to fraction form
    2,165.93/3,248.88 = 605.93/x
  3. Step 3: Cross multiply
    2,165.93x = 3,248.88 × 605.93
  4. Step 4: Simplify right side
    2,165.93x = 1,968,577.61
  5. Step 5: Solve for x
    x = 1,968,577.61/2,165.93
  6. Step 6: Final answer
    x = 908.89

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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.