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Finding the Fourth Proportional to 452.42, 674.18 and 437.74

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Solution

The fourth proportional to 452.42, 674.18 and 437.74 is: 652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 674.18 = 437.74 : x
  2. Step 2: Convert to fraction form
    452.42/674.18 = 437.74/x
  3. Step 3: Cross multiply
    452.42x = 674.18 × 437.74
  4. Step 4: Simplify right side
    452.42x = 295,115.55
  5. Step 5: Solve for x
    x = 295,115.55/452.42
  6. Step 6: Final answer
    x = 652.30

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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.