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Finding the Fourth Proportional to 723.01, 997.44 and 474.01

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Solution

The fourth proportional to 723.01, 997.44 and 474.01 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.01 : 997.44 = 474.01 : x
  2. Step 2: Convert to fraction form
    723.01/997.44 = 474.01/x
  3. Step 3: Cross multiply
    723.01x = 997.44 × 474.01
  4. Step 4: Simplify right side
    723.01x = 472,791.55
  5. Step 5: Solve for x
    x = 472,791.55/723.01
  6. Step 6: Final answer
    x = 653.93

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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.