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Finding the Fourth Proportional to 452.08, 623.78 and 275.02

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Solution

The fourth proportional to 452.08, 623.78 and 275.02 is: 379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.08 : 623.78 = 275.02 : x
  2. Step 2: Convert to fraction form
    452.08/623.78 = 275.02/x
  3. Step 3: Cross multiply
    452.08x = 623.78 × 275.02
  4. Step 4: Simplify right side
    452.08x = 171,551.98
  5. Step 5: Solve for x
    x = 171,551.98/452.08
  6. Step 6: Final answer
    x = 379.47

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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.