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Finding the Fourth Proportional to 452.32, 677.46 and 276.15

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Solution

The fourth proportional to 452.32, 677.46 and 276.15 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 677.46 = 276.15 : x
  2. Step 2: Convert to fraction form
    452.32/677.46 = 276.15/x
  3. Step 3: Cross multiply
    452.32x = 677.46 × 276.15
  4. Step 4: Simplify right side
    452.32x = 187,080.58
  5. Step 5: Solve for x
    x = 187,080.58/452.32
  6. Step 6: Final answer
    x = 413.60

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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.