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Finding the Fourth Proportional to 452.65, 676.09 and 409.24

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Solution

The fourth proportional to 452.65, 676.09 and 409.24 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.65 : 676.09 = 409.24 : x
  2. Step 2: Convert to fraction form
    452.65/676.09 = 409.24/x
  3. Step 3: Cross multiply
    452.65x = 676.09 × 409.24
  4. Step 4: Simplify right side
    452.65x = 276,681.03
  5. Step 5: Solve for x
    x = 276,681.03/452.65
  6. Step 6: Final answer
    x = 611.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.