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Finding the Fourth Proportional to 445.54, 663.50 and 434.20

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Solution

The fourth proportional to 445.54, 663.50 and 434.20 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.54 : 663.50 = 434.20 : x
  2. Step 2: Convert to fraction form
    445.54/663.50 = 434.20/x
  3. Step 3: Cross multiply
    445.54x = 663.50 × 434.20
  4. Step 4: Simplify right side
    445.54x = 288,091.70
  5. Step 5: Solve for x
    x = 288,091.70/445.54
  6. Step 6: Final answer
    x = 646.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.