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Finding the Fourth Proportional to 436.59, 598.49 and 428.73

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Solution

The fourth proportional to 436.59, 598.49 and 428.73 is: 587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.59 : 598.49 = 428.73 : x
  2. Step 2: Convert to fraction form
    436.59/598.49 = 428.73/x
  3. Step 3: Cross multiply
    436.59x = 598.49 × 428.73
  4. Step 4: Simplify right side
    436.59x = 256,587.84
  5. Step 5: Solve for x
    x = 256,587.84/436.59
  6. Step 6: Final answer
    x = 587.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.