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Finding the Fourth Proportional to 452.64, 624.02 and 305.04

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Solution

The fourth proportional to 452.64, 624.02 and 305.04 is: 420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 624.02 = 305.04 : x
  2. Step 2: Convert to fraction form
    452.64/624.02 = 305.04/x
  3. Step 3: Cross multiply
    452.64x = 624.02 × 305.04
  4. Step 4: Simplify right side
    452.64x = 190,349.54
  5. Step 5: Solve for x
    x = 190,349.54/452.64
  6. Step 6: Final answer
    x = 420.53

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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.