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Finding the Fourth Proportional to 428.93, 640.01 and 424.79

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Solution

The fourth proportional to 428.93, 640.01 and 424.79 is: 633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.93 : 640.01 = 424.79 : x
  2. Step 2: Convert to fraction form
    428.93/640.01 = 424.79/x
  3. Step 3: Cross multiply
    428.93x = 640.01 × 424.79
  4. Step 4: Simplify right side
    428.93x = 271,864.52
  5. Step 5: Solve for x
    x = 271,864.52/428.93
  6. Step 6: Final answer
    x = 633.83

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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.