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Finding the Fourth Proportional to 452.65, 678.16 and 428.35

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Solution

The fourth proportional to 452.65, 678.16 and 428.35 is: 641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.65 : 678.16 = 428.35 : x
  2. Step 2: Convert to fraction form
    452.65/678.16 = 428.35/x
  3. Step 3: Cross multiply
    452.65x = 678.16 × 428.35
  4. Step 4: Simplify right side
    452.65x = 290,489.84
  5. Step 5: Solve for x
    x = 290,489.84/452.65
  6. Step 6: Final answer
    x = 641.75

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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.