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Finding the Fourth Proportional to 452.30, 681.63 and 409.01

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Solution

The fourth proportional to 452.30, 681.63 and 409.01 is: 616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 681.63 = 409.01 : x
  2. Step 2: Convert to fraction form
    452.30/681.63 = 409.01/x
  3. Step 3: Cross multiply
    452.30x = 681.63 × 409.01
  4. Step 4: Simplify right side
    452.30x = 278,793.49
  5. Step 5: Solve for x
    x = 278,793.49/452.30
  6. Step 6: Final answer
    x = 616.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.