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Finding the Fourth Proportional to 452.79, 677.86 and 409.56

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Solution

The fourth proportional to 452.79, 677.86 and 409.56 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.79 : 677.86 = 409.56 : x
  2. Step 2: Convert to fraction form
    452.79/677.86 = 409.56/x
  3. Step 3: Cross multiply
    452.79x = 677.86 × 409.56
  4. Step 4: Simplify right side
    452.79x = 277,624.34
  5. Step 5: Solve for x
    x = 277,624.34/452.79
  6. Step 6: Final answer
    x = 613.14

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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.