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Finding the Fourth Proportional to 1,623.35, 2,435.65 and 649.73

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Solution

The fourth proportional to 1,623.35, 2,435.65 and 649.73 is: 974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.35 : 2,435.65 = 649.73 : x
  2. Step 2: Convert to fraction form
    1,623.35/2,435.65 = 649.73/x
  3. Step 3: Cross multiply
    1,623.35x = 2,435.65 × 649.73
  4. Step 4: Simplify right side
    1,623.35x = 1,582,514.87
  5. Step 5: Solve for x
    x = 1,582,514.87/1,623.35
  6. Step 6: Final answer
    x = 974.85

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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.