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Finding the Fourth Proportional to 723.17, 997.36 and 471.16

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Solution

The fourth proportional to 723.17, 997.36 and 471.16 is: 649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.17 : 997.36 = 471.16 : x
  2. Step 2: Convert to fraction form
    723.17/997.36 = 471.16/x
  3. Step 3: Cross multiply
    723.17x = 997.36 × 471.16
  4. Step 4: Simplify right side
    723.17x = 469,916.14
  5. Step 5: Solve for x
    x = 469,916.14/723.17
  6. Step 6: Final answer
    x = 649.80

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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.