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Finding the Fourth Proportional to 452.07, 677.77 and 276.34

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Solution

The fourth proportional to 452.07, 677.77 and 276.34 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 677.77 = 276.34 : x
  2. Step 2: Convert to fraction form
    452.07/677.77 = 276.34/x
  3. Step 3: Cross multiply
    452.07x = 677.77 × 276.34
  4. Step 4: Simplify right side
    452.07x = 187,294.96
  5. Step 5: Solve for x
    x = 187,294.96/452.07
  6. Step 6: Final answer
    x = 414.31

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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.