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Finding the Fourth Proportional to 1,662.80, 2,495.21 and 688.77

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Solution

The fourth proportional to 1,662.80, 2,495.21 and 688.77 is: 1,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.80 : 2,495.21 = 688.77 : x
  2. Step 2: Convert to fraction form
    1,662.80/2,495.21 = 688.77/x
  3. Step 3: Cross multiply
    1,662.80x = 2,495.21 × 688.77
  4. Step 4: Simplify right side
    1,662.80x = 1,718,622.35
  5. Step 5: Solve for x
    x = 1,718,622.35/1,662.80
  6. Step 6: Final answer
    x = 1,033.57

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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.