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Finding the Fourth Proportional to 436.22, 653.60 and 289.78

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Solution

The fourth proportional to 436.22, 653.60 and 289.78 is: 434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.22 : 653.60 = 289.78 : x
  2. Step 2: Convert to fraction form
    436.22/653.60 = 289.78/x
  3. Step 3: Cross multiply
    436.22x = 653.60 × 289.78
  4. Step 4: Simplify right side
    436.22x = 189,399.30
  5. Step 5: Solve for x
    x = 189,399.30/436.22
  6. Step 6: Final answer
    x = 434.18

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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.