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Finding the Fourth Proportional to 431.42, 644.43 and 424.13

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Solution

The fourth proportional to 431.42, 644.43 and 424.13 is: 633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 644.43 = 424.13 : x
  2. Step 2: Convert to fraction form
    431.42/644.43 = 424.13/x
  3. Step 3: Cross multiply
    431.42x = 644.43 × 424.13
  4. Step 4: Simplify right side
    431.42x = 273,318.87
  5. Step 5: Solve for x
    x = 273,318.87/431.42
  6. Step 6: Final answer
    x = 633.54

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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.