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Finding the Fourth Proportional to 2,508.03, 3,762.21 and 659.19

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Solution

The fourth proportional to 2,508.03, 3,762.21 and 659.19 is: 988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.03 : 3,762.21 = 659.19 : x
  2. Step 2: Convert to fraction form
    2,508.03/3,762.21 = 659.19/x
  3. Step 3: Cross multiply
    2,508.03x = 3,762.21 × 659.19
  4. Step 4: Simplify right side
    2,508.03x = 2,480,011.21
  5. Step 5: Solve for x
    x = 2,480,011.21/2,508.03
  6. Step 6: Final answer
    x = 988.83

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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.