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Finding the Fourth Proportional to 452.96, 624.76 and 328.83

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Solution

The fourth proportional to 452.96, 624.76 and 328.83 is: 453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.96 : 624.76 = 328.83 : x
  2. Step 2: Convert to fraction form
    452.96/624.76 = 328.83/x
  3. Step 3: Cross multiply
    452.96x = 624.76 × 328.83
  4. Step 4: Simplify right side
    452.96x = 205,439.01
  5. Step 5: Solve for x
    x = 205,439.01/452.96
  6. Step 6: Final answer
    x = 453.55

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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.