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Finding the Fourth Proportional to 452.96, 624.40 and 354.54

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Solution

The fourth proportional to 452.96, 624.40 and 354.54 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.96 : 624.40 = 354.54 : x
  2. Step 2: Convert to fraction form
    452.96/624.40 = 354.54/x
  3. Step 3: Cross multiply
    452.96x = 624.40 × 354.54
  4. Step 4: Simplify right side
    452.96x = 221,373.89
  5. Step 5: Solve for x
    x = 221,373.89/452.96
  6. Step 6: Final answer
    x = 488.73

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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.