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Finding the Fourth Proportional to 2,165.32, 3,248.04 and 605.34

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Solution

The fourth proportional to 2,165.32, 3,248.04 and 605.34 is: 908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.32 : 3,248.04 = 605.34 : x
  2. Step 2: Convert to fraction form
    2,165.32/3,248.04 = 605.34/x
  3. Step 3: Cross multiply
    2,165.32x = 3,248.04 × 605.34
  4. Step 4: Simplify right side
    2,165.32x = 1,966,168.53
  5. Step 5: Solve for x
    x = 1,966,168.53/2,165.32
  6. Step 6: Final answer
    x = 908.03

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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.