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Finding the Fourth Proportional to 452.30, 623.54 and 364.82

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Solution

The fourth proportional to 452.30, 623.54 and 364.82 is: 502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 623.54 = 364.82 : x
  2. Step 2: Convert to fraction form
    452.30/623.54 = 364.82/x
  3. Step 3: Cross multiply
    452.30x = 623.54 × 364.82
  4. Step 4: Simplify right side
    452.30x = 227,477.66
  5. Step 5: Solve for x
    x = 227,477.66/452.30
  6. Step 6: Final answer
    x = 502.94

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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.