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Finding the Fourth Proportional to 429.35, 591.30 and 428.13

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Solution

The fourth proportional to 429.35, 591.30 and 428.13 is: 589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.35 : 591.30 = 428.13 : x
  2. Step 2: Convert to fraction form
    429.35/591.30 = 428.13/x
  3. Step 3: Cross multiply
    429.35x = 591.30 × 428.13
  4. Step 4: Simplify right side
    429.35x = 253,153.27
  5. Step 5: Solve for x
    x = 253,153.27/429.35
  6. Step 6: Final answer
    x = 589.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.