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Finding the Fourth Proportional to 436.63, 654.91 and 253.91

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Solution

The fourth proportional to 436.63, 654.91 and 253.91 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.63 : 654.91 = 253.91 : x
  2. Step 2: Convert to fraction form
    436.63/654.91 = 253.91/x
  3. Step 3: Cross multiply
    436.63x = 654.91 × 253.91
  4. Step 4: Simplify right side
    436.63x = 166,283.65
  5. Step 5: Solve for x
    x = 166,283.65/436.63
  6. Step 6: Final answer
    x = 380.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.