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Finding the Fourth Proportional to 534.72, 735.40 and 428.56

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Solution

The fourth proportional to 534.72, 735.40 and 428.56 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.72 : 735.40 = 428.56 : x
  2. Step 2: Convert to fraction form
    534.72/735.40 = 428.56/x
  3. Step 3: Cross multiply
    534.72x = 735.40 × 428.56
  4. Step 4: Simplify right side
    534.72x = 315,163.02
  5. Step 5: Solve for x
    x = 315,163.02/534.72
  6. Step 6: Final answer
    x = 589.40

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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.