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Finding the Fourth Proportional to 722.48, 997.12 and 557.62

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Solution

The fourth proportional to 722.48, 997.12 and 557.62 is: 769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.48 : 997.12 = 557.62 : x
  2. Step 2: Convert to fraction form
    722.48/997.12 = 557.62/x
  3. Step 3: Cross multiply
    722.48x = 997.12 × 557.62
  4. Step 4: Simplify right side
    722.48x = 556,014.05
  5. Step 5: Solve for x
    x = 556,014.05/722.48
  6. Step 6: Final answer
    x = 769.59

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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.