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Finding the Fourth Proportional to 1,689.30, 2,534.22 and 649.26

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Solution

The fourth proportional to 1,689.30, 2,534.22 and 649.26 is: 973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.30 : 2,534.22 = 649.26 : x
  2. Step 2: Convert to fraction form
    1,689.30/2,534.22 = 649.26/x
  3. Step 3: Cross multiply
    1,689.30x = 2,534.22 × 649.26
  4. Step 4: Simplify right side
    1,689.30x = 1,645,367.68
  5. Step 5: Solve for x
    x = 1,645,367.68/1,689.30
  6. Step 6: Final answer
    x = 973.99

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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.