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Finding the Fourth Proportional to 1,689.18, 2,533.91 and 649.68

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Solution

The fourth proportional to 1,689.18, 2,533.91 and 649.68 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.18 : 2,533.91 = 649.68 : x
  2. Step 2: Convert to fraction form
    1,689.18/2,533.91 = 649.68/x
  3. Step 3: Cross multiply
    1,689.18x = 2,533.91 × 649.68
  4. Step 4: Simplify right side
    1,689.18x = 1,646,230.65
  5. Step 5: Solve for x
    x = 1,646,230.65/1,689.18
  6. Step 6: Final answer
    x = 974.57

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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.