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Finding the Fourth Proportional to 428.96, 645.86 and 377.93

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Solution

The fourth proportional to 428.96, 645.86 and 377.93 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 645.86 = 377.93 : x
  2. Step 2: Convert to fraction form
    428.96/645.86 = 377.93/x
  3. Step 3: Cross multiply
    428.96x = 645.86 × 377.93
  4. Step 4: Simplify right side
    428.96x = 244,084.75
  5. Step 5: Solve for x
    x = 244,084.75/428.96
  6. Step 6: Final answer
    x = 569.02

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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.