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Finding the Fourth Proportional to 723.85, 997.41 and 557.55

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Solution

The fourth proportional to 723.85, 997.41 and 557.55 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.85 : 997.41 = 557.55 : x
  2. Step 2: Convert to fraction form
    723.85/997.41 = 557.55/x
  3. Step 3: Cross multiply
    723.85x = 997.41 × 557.55
  4. Step 4: Simplify right side
    723.85x = 556,108.04
  5. Step 5: Solve for x
    x = 556,108.04/723.85
  6. Step 6: Final answer
    x = 768.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.