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Finding the Fourth Proportional to 1,644.16, 2,465.36 and 548.12

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Solution

The fourth proportional to 1,644.16, 2,465.36 and 548.12 is: 821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.16 : 2,465.36 = 548.12 : x
  2. Step 2: Convert to fraction form
    1,644.16/2,465.36 = 548.12/x
  3. Step 3: Cross multiply
    1,644.16x = 2,465.36 × 548.12
  4. Step 4: Simplify right side
    1,644.16x = 1,351,313.12
  5. Step 5: Solve for x
    x = 1,351,313.12/1,644.16
  6. Step 6: Final answer
    x = 821.89

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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.