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Finding the Fourth Proportional to 723.42, 997.74 and 428.40

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Solution

The fourth proportional to 723.42, 997.74 and 428.40 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 997.74 = 428.40 : x
  2. Step 2: Convert to fraction form
    723.42/997.74 = 428.40/x
  3. Step 3: Cross multiply
    723.42x = 997.74 × 428.40
  4. Step 4: Simplify right side
    723.42x = 427,431.82
  5. Step 5: Solve for x
    x = 427,431.82/723.42
  6. Step 6: Final answer
    x = 590.85

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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.