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Finding the Fourth Proportional to 1,579.64, 2,369.54 and 484.01

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Solution

The fourth proportional to 1,579.64, 2,369.54 and 484.01 is: 726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.64 : 2,369.54 = 484.01 : x
  2. Step 2: Convert to fraction form
    1,579.64/2,369.54 = 484.01/x
  3. Step 3: Cross multiply
    1,579.64x = 2,369.54 × 484.01
  4. Step 4: Simplify right side
    1,579.64x = 1,146,879.30
  5. Step 5: Solve for x
    x = 1,146,879.30/1,579.64
  6. Step 6: Final answer
    x = 726.04

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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.