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Finding the Fourth Proportional to 2,508.98, 3,763.16 and 660.23

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Solution

The fourth proportional to 2,508.98, 3,763.16 and 660.23 is: 990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.98 : 3,763.16 = 660.23 : x
  2. Step 2: Convert to fraction form
    2,508.98/3,763.16 = 660.23/x
  3. Step 3: Cross multiply
    2,508.98x = 3,763.16 × 660.23
  4. Step 4: Simplify right side
    2,508.98x = 2,484,551.13
  5. Step 5: Solve for x
    x = 2,484,551.13/2,508.98
  6. Step 6: Final answer
    x = 990.27

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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.