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Finding the Fourth Proportional to 433.48, 645.68 and 397.12

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Solution

The fourth proportional to 433.48, 645.68 and 397.12 is: 591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 645.68 = 397.12 : x
  2. Step 2: Convert to fraction form
    433.48/645.68 = 397.12/x
  3. Step 3: Cross multiply
    433.48x = 645.68 × 397.12
  4. Step 4: Simplify right side
    433.48x = 256,412.44
  5. Step 5: Solve for x
    x = 256,412.44/433.48
  6. Step 6: Final answer
    x = 591.52

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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.