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Finding the Fourth Proportional to 1,689.37, 2,532.31 and 649.09

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Solution

The fourth proportional to 1,689.37, 2,532.31 and 649.09 is: 972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.37 : 2,532.31 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,689.37/2,532.31 = 649.09/x
  3. Step 3: Cross multiply
    1,689.37x = 2,532.31 × 649.09
  4. Step 4: Simplify right side
    1,689.37x = 1,643,697.10
  5. Step 5: Solve for x
    x = 1,643,697.10/1,689.37
  6. Step 6: Final answer
    x = 972.96

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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.