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Finding the Fourth Proportional to 1,664.48, 2,496.72 and 980

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Solution

The fourth proportional to 1,664.48, 2,496.72 and 980 is: 1,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.48 : 2,496.72 = 980 : x
  2. Step 2: Convert to fraction form
    1,664.48/2,496.72 = 980/x
  3. Step 3: Cross multiply
    1,664.48x = 2,496.72 × 980
  4. Step 4: Simplify right side
    1,664.48x = 2,446,785.60
  5. Step 5: Solve for x
    x = 2,446,785.60/1,664.48
  6. Step 6: Final answer
    x = 1,470.00

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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.