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Finding the Fourth Proportional to 1,623.48, 2,435.82 and 649.66

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Solution

The fourth proportional to 1,623.48, 2,435.82 and 649.66 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.48 : 2,435.82 = 649.66 : x
  2. Step 2: Convert to fraction form
    1,623.48/2,435.82 = 649.66/x
  3. Step 3: Cross multiply
    1,623.48x = 2,435.82 × 649.66
  4. Step 4: Simplify right side
    1,623.48x = 1,582,454.82
  5. Step 5: Solve for x
    x = 1,582,454.82/1,623.48
  6. Step 6: Final answer
    x = 974.73

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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.