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Finding the Fourth Proportional to 436.45, 653.82 and 328.36

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Solution

The fourth proportional to 436.45, 653.82 and 328.36 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.45 : 653.82 = 328.36 : x
  2. Step 2: Convert to fraction form
    436.45/653.82 = 328.36/x
  3. Step 3: Cross multiply
    436.45x = 653.82 × 328.36
  4. Step 4: Simplify right side
    436.45x = 214,688.34
  5. Step 5: Solve for x
    x = 214,688.34/436.45
  6. Step 6: Final answer
    x = 491.90

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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.