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Finding the Fourth Proportional to 436.57, 653.69 and 299.88

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Solution

The fourth proportional to 436.57, 653.69 and 299.88 is: 449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.57 : 653.69 = 299.88 : x
  2. Step 2: Convert to fraction form
    436.57/653.69 = 299.88/x
  3. Step 3: Cross multiply
    436.57x = 653.69 × 299.88
  4. Step 4: Simplify right side
    436.57x = 196,029.31
  5. Step 5: Solve for x
    x = 196,029.31/436.57
  6. Step 6: Final answer
    x = 449.02

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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.