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Finding the Fourth Proportional to 535.14, 742.46 and 530.28

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Solution

The fourth proportional to 535.14, 742.46 and 530.28 is: 735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 742.46 = 530.28 : x
  2. Step 2: Convert to fraction form
    535.14/742.46 = 530.28/x
  3. Step 3: Cross multiply
    535.14x = 742.46 × 530.28
  4. Step 4: Simplify right side
    535.14x = 393,709.04
  5. Step 5: Solve for x
    x = 393,709.04/535.14
  6. Step 6: Final answer
    x = 735.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.