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Finding the Fourth Proportional to 452.07, 674.84 and 382.95

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Solution

The fourth proportional to 452.07, 674.84 and 382.95 is: 571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 674.84 = 382.95 : x
  2. Step 2: Convert to fraction form
    452.07/674.84 = 382.95/x
  3. Step 3: Cross multiply
    452.07x = 674.84 × 382.95
  4. Step 4: Simplify right side
    452.07x = 258,430.94
  5. Step 5: Solve for x
    x = 258,430.94/452.07
  6. Step 6: Final answer
    x = 571.66

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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.