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Finding the Fourth Proportional to 452.11, 674.45 and 417.69

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Solution

The fourth proportional to 452.11, 674.45 and 417.69 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.11 : 674.45 = 417.69 : x
  2. Step 2: Convert to fraction form
    452.11/674.45 = 417.69/x
  3. Step 3: Cross multiply
    452.11x = 674.45 × 417.69
  4. Step 4: Simplify right side
    452.11x = 281,711.02
  5. Step 5: Solve for x
    x = 281,711.02/452.11
  6. Step 6: Final answer
    x = 623.10

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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.