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Finding the Fourth Proportional to 428.99, 645.82 and 292.89

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Solution

The fourth proportional to 428.99, 645.82 and 292.89 is: 440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 645.82 = 292.89 : x
  2. Step 2: Convert to fraction form
    428.99/645.82 = 292.89/x
  3. Step 3: Cross multiply
    428.99x = 645.82 × 292.89
  4. Step 4: Simplify right side
    428.99x = 189,151.87
  5. Step 5: Solve for x
    x = 189,151.87/428.99
  6. Step 6: Final answer
    x = 440.93

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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.