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Finding the Fourth Proportional to 723.17, 997.65 and 428.45

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Solution

The fourth proportional to 723.17, 997.65 and 428.45 is: 591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.17 : 997.65 = 428.45 : x
  2. Step 2: Convert to fraction form
    723.17/997.65 = 428.45/x
  3. Step 3: Cross multiply
    723.17x = 997.65 × 428.45
  4. Step 4: Simplify right side
    723.17x = 427,438.15
  5. Step 5: Solve for x
    x = 427,438.15/723.17
  6. Step 6: Final answer
    x = 591.06

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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.