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Finding the Fourth Proportional to 1,660.18, 2,490.60 and 564.25

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Solution

The fourth proportional to 1,660.18, 2,490.60 and 564.25 is: 846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.18 : 2,490.60 = 564.25 : x
  2. Step 2: Convert to fraction form
    1,660.18/2,490.60 = 564.25/x
  3. Step 3: Cross multiply
    1,660.18x = 2,490.60 × 564.25
  4. Step 4: Simplify right side
    1,660.18x = 1,405,321.05
  5. Step 5: Solve for x
    x = 1,405,321.05/1,660.18
  6. Step 6: Final answer
    x = 846.49

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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.