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Finding the Fourth Proportional to 452.43, 624.69 and 354.02

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Solution

The fourth proportional to 452.43, 624.69 and 354.02 is: 488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.43 : 624.69 = 354.02 : x
  2. Step 2: Convert to fraction form
    452.43/624.69 = 354.02/x
  3. Step 3: Cross multiply
    452.43x = 624.69 × 354.02
  4. Step 4: Simplify right side
    452.43x = 221,149.63
  5. Step 5: Solve for x
    x = 221,149.63/452.43
  6. Step 6: Final answer
    x = 488.80

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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.