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Finding the Fourth Proportional to 538.55, 743.58 and 428.29

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Solution

The fourth proportional to 538.55, 743.58 and 428.29 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 743.58 = 428.29 : x
  2. Step 2: Convert to fraction form
    538.55/743.58 = 428.29/x
  3. Step 3: Cross multiply
    538.55x = 743.58 × 428.29
  4. Step 4: Simplify right side
    538.55x = 318,466.02
  5. Step 5: Solve for x
    x = 318,466.02/538.55
  6. Step 6: Final answer
    x = 591.34

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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.