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Finding the Fourth Proportional to 1,689.86, 2,534.31 and 649.79

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Solution

The fourth proportional to 1,689.86, 2,534.31 and 649.79 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.86 : 2,534.31 = 649.79 : x
  2. Step 2: Convert to fraction form
    1,689.86/2,534.31 = 649.79/x
  3. Step 3: Cross multiply
    1,689.86x = 2,534.31 × 649.79
  4. Step 4: Simplify right side
    1,689.86x = 1,646,769.29
  5. Step 5: Solve for x
    x = 1,646,769.29/1,689.86
  6. Step 6: Final answer
    x = 974.50

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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.