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Finding the Fourth Proportional to 723.76, 997.99 and 557.62

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Solution

The fourth proportional to 723.76, 997.99 and 557.62 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 997.99 = 557.62 : x
  2. Step 2: Convert to fraction form
    723.76/997.99 = 557.62/x
  3. Step 3: Cross multiply
    723.76x = 997.99 × 557.62
  4. Step 4: Simplify right side
    723.76x = 556,495.29
  5. Step 5: Solve for x
    x = 556,495.29/723.76
  6. Step 6: Final answer
    x = 768.90

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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.