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Finding the Fourth Proportional to 452.94, 624.35 and 415.28

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Solution

The fourth proportional to 452.94, 624.35 and 415.28 is: 572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.94 : 624.35 = 415.28 : x
  2. Step 2: Convert to fraction form
    452.94/624.35 = 415.28/x
  3. Step 3: Cross multiply
    452.94x = 624.35 × 415.28
  4. Step 4: Simplify right side
    452.94x = 259,274.87
  5. Step 5: Solve for x
    x = 259,274.87/452.94
  6. Step 6: Final answer
    x = 572.43

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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.