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Finding the Fourth Proportional to 1,579.80, 2,369.74 and 425.54

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Solution

The fourth proportional to 1,579.80, 2,369.74 and 425.54 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.80 : 2,369.74 = 425.54 : x
  2. Step 2: Convert to fraction form
    1,579.80/2,369.74 = 425.54/x
  3. Step 3: Cross multiply
    1,579.80x = 2,369.74 × 425.54
  4. Step 4: Simplify right side
    1,579.80x = 1,008,419.16
  5. Step 5: Solve for x
    x = 1,008,419.16/1,579.80
  6. Step 6: Final answer
    x = 638.32

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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.