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Finding the Fourth Proportional to 1,660.12, 2,490.26 and 549.60

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Solution

The fourth proportional to 1,660.12, 2,490.26 and 549.60 is: 824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.12 : 2,490.26 = 549.60 : x
  2. Step 2: Convert to fraction form
    1,660.12/2,490.26 = 549.60/x
  3. Step 3: Cross multiply
    1,660.12x = 2,490.26 × 549.60
  4. Step 4: Simplify right side
    1,660.12x = 1,368,646.90
  5. Step 5: Solve for x
    x = 1,368,646.90/1,660.12
  6. Step 6: Final answer
    x = 824.43

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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.