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Finding the Fourth Proportional to 436.50, 655.09 and 385.24

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Solution

The fourth proportional to 436.50, 655.09 and 385.24 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.50 : 655.09 = 385.24 : x
  2. Step 2: Convert to fraction form
    436.50/655.09 = 385.24/x
  3. Step 3: Cross multiply
    436.50x = 655.09 × 385.24
  4. Step 4: Simplify right side
    436.50x = 252,364.95
  5. Step 5: Solve for x
    x = 252,364.95/436.50
  6. Step 6: Final answer
    x = 578.16

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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.