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Finding the Fourth Proportional to 2,404.65, 3,606.67 and 649.78

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Solution

The fourth proportional to 2,404.65, 3,606.67 and 649.78 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.65 : 3,606.67 = 649.78 : x
  2. Step 2: Convert to fraction form
    2,404.65/3,606.67 = 649.78/x
  3. Step 3: Cross multiply
    2,404.65x = 3,606.67 × 649.78
  4. Step 4: Simplify right side
    2,404.65x = 2,343,542.03
  5. Step 5: Solve for x
    x = 2,343,542.03/2,404.65
  6. Step 6: Final answer
    x = 974.59

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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.