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Finding the Fourth Proportional to 722.71, 996.65 and 474.24

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Solution

The fourth proportional to 722.71, 996.65 and 474.24 is: 654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.71 : 996.65 = 474.24 : x
  2. Step 2: Convert to fraction form
    722.71/996.65 = 474.24/x
  3. Step 3: Cross multiply
    722.71x = 996.65 × 474.24
  4. Step 4: Simplify right side
    722.71x = 472,651.30
  5. Step 5: Solve for x
    x = 472,651.30/722.71
  6. Step 6: Final answer
    x = 654.00

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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.