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Finding the Fourth Proportional to 433.48, 645.34 and 427.40

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Solution

The fourth proportional to 433.48, 645.34 and 427.40 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 645.34 = 427.40 : x
  2. Step 2: Convert to fraction form
    433.48/645.34 = 427.40/x
  3. Step 3: Cross multiply
    433.48x = 645.34 × 427.40
  4. Step 4: Simplify right side
    433.48x = 275,818.32
  5. Step 5: Solve for x
    x = 275,818.32/433.48
  6. Step 6: Final answer
    x = 636.29

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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.