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Finding the Fourth Proportional to 1,663.88, 2,495.68 and 689.31

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Solution

The fourth proportional to 1,663.88, 2,495.68 and 689.31 is: 1,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.88 : 2,495.68 = 689.31 : x
  2. Step 2: Convert to fraction form
    1,663.88/2,495.68 = 689.31/x
  3. Step 3: Cross multiply
    1,663.88x = 2,495.68 × 689.31
  4. Step 4: Simplify right side
    1,663.88x = 1,720,295.46
  5. Step 5: Solve for x
    x = 1,720,295.46/1,663.88
  6. Step 6: Final answer
    x = 1,033.91

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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.