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Finding the Fourth Proportional to 452.09, 623.70 and 277.53

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Solution

The fourth proportional to 452.09, 623.70 and 277.53 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 623.70 = 277.53 : x
  2. Step 2: Convert to fraction form
    452.09/623.70 = 277.53/x
  3. Step 3: Cross multiply
    452.09x = 623.70 × 277.53
  4. Step 4: Simplify right side
    452.09x = 173,095.46
  5. Step 5: Solve for x
    x = 173,095.46/452.09
  6. Step 6: Final answer
    x = 382.88

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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.