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Finding the Fourth Proportional to 452.75, 624.58 and 287.21

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Solution

The fourth proportional to 452.75, 624.58 and 287.21 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.75 : 624.58 = 287.21 : x
  2. Step 2: Convert to fraction form
    452.75/624.58 = 287.21/x
  3. Step 3: Cross multiply
    452.75x = 624.58 × 287.21
  4. Step 4: Simplify right side
    452.75x = 179,386.47
  5. Step 5: Solve for x
    x = 179,386.47/452.75
  6. Step 6: Final answer
    x = 396.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.