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Finding the Fourth Proportional to 433.98, 653.72 and 428.31

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Solution

The fourth proportional to 433.98, 653.72 and 428.31 is: 645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 653.72 = 428.31 : x
  2. Step 2: Convert to fraction form
    433.98/653.72 = 428.31/x
  3. Step 3: Cross multiply
    433.98x = 653.72 × 428.31
  4. Step 4: Simplify right side
    433.98x = 279,992.67
  5. Step 5: Solve for x
    x = 279,992.67/433.98
  6. Step 6: Final answer
    x = 645.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.