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Finding the Fourth Proportional to 723.62, 997.83 and 536.82

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Solution

The fourth proportional to 723.62, 997.83 and 536.82 is: 740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 997.83 = 536.82 : x
  2. Step 2: Convert to fraction form
    723.62/997.83 = 536.82/x
  3. Step 3: Cross multiply
    723.62x = 997.83 × 536.82
  4. Step 4: Simplify right side
    723.62x = 535,655.10
  5. Step 5: Solve for x
    x = 535,655.10/723.62
  6. Step 6: Final answer
    x = 740.24

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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.