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Finding the Fourth Proportional to 435.89, 597.63 and 428.09

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Solution

The fourth proportional to 435.89, 597.63 and 428.09 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.89 : 597.63 = 428.09 : x
  2. Step 2: Convert to fraction form
    435.89/597.63 = 428.09/x
  3. Step 3: Cross multiply
    435.89x = 597.63 × 428.09
  4. Step 4: Simplify right side
    435.89x = 255,839.32
  5. Step 5: Solve for x
    x = 255,839.32/435.89
  6. Step 6: Final answer
    x = 586.94

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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.