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Finding the Fourth Proportional to 538.92, 743.40 and 428.04

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Solution

The fourth proportional to 538.92, 743.40 and 428.04 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 743.40 = 428.04 : x
  2. Step 2: Convert to fraction form
    538.92/743.40 = 428.04/x
  3. Step 3: Cross multiply
    538.92x = 743.40 × 428.04
  4. Step 4: Simplify right side
    538.92x = 318,204.94
  5. Step 5: Solve for x
    x = 318,204.94/538.92
  6. Step 6: Final answer
    x = 590.45

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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.