Home / 1,689.27-2,534.22-649.23

Finding the Fourth Proportional to 1,689.27, 2,534.22 and 649.23

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Solution

The fourth proportional to 1,689.27, 2,534.22 and 649.23 is: 973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.27 : 2,534.22 = 649.23 : x
  2. Step 2: Convert to fraction form
    1,689.27/2,534.22 = 649.23/x
  3. Step 3: Cross multiply
    1,689.27x = 2,534.22 × 649.23
  4. Step 4: Simplify right side
    1,689.27x = 1,645,291.65
  5. Step 5: Solve for x
    x = 1,645,291.65/1,689.27
  6. Step 6: Final answer
    x = 973.97

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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.