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Finding the Fourth Proportional to 722.89, 997.14 and 474.31

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Solution

The fourth proportional to 722.89, 997.14 and 474.31 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.89 : 997.14 = 474.31 : x
  2. Step 2: Convert to fraction form
    722.89/997.14 = 474.31/x
  3. Step 3: Cross multiply
    722.89x = 997.14 × 474.31
  4. Step 4: Simplify right side
    722.89x = 472,953.47
  5. Step 5: Solve for x
    x = 472,953.47/722.89
  6. Step 6: Final answer
    x = 654.25

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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.