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Finding the Fourth Proportional to 1,644.02, 2,465.72 and 548.36

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Solution

The fourth proportional to 1,644.02, 2,465.72 and 548.36 is: 822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.02 : 2,465.72 = 548.36 : x
  2. Step 2: Convert to fraction form
    1,644.02/2,465.72 = 548.36/x
  3. Step 3: Cross multiply
    1,644.02x = 2,465.72 × 548.36
  4. Step 4: Simplify right side
    1,644.02x = 1,352,102.22
  5. Step 5: Solve for x
    x = 1,352,102.22/1,644.02
  6. Step 6: Final answer
    x = 822.44

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1.5x scale

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.