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Finding the Fourth Proportional to 452.32, 678.80 and 418.53

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Solution

The fourth proportional to 452.32, 678.80 and 418.53 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 678.80 = 418.53 : x
  2. Step 2: Convert to fraction form
    452.32/678.80 = 418.53/x
  3. Step 3: Cross multiply
    452.32x = 678.80 × 418.53
  4. Step 4: Simplify right side
    452.32x = 284,098.16
  5. Step 5: Solve for x
    x = 284,098.16/452.32
  6. Step 6: Final answer
    x = 628.09

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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.