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Finding the Fourth Proportional to 456.50, 680.59 and 428.96

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Solution

The fourth proportional to 456.50, 680.59 and 428.96 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.50 : 680.59 = 428.96 : x
  2. Step 2: Convert to fraction form
    456.50/680.59 = 428.96/x
  3. Step 3: Cross multiply
    456.50x = 680.59 × 428.96
  4. Step 4: Simplify right side
    456.50x = 291,945.89
  5. Step 5: Solve for x
    x = 291,945.89/456.50
  6. Step 6: Final answer
    x = 639.53

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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.