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Finding the Fourth Proportional to 476.73, 709.79 and 474.30

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Solution

The fourth proportional to 476.73, 709.79 and 474.30 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 709.79 = 474.30 : x
  2. Step 2: Convert to fraction form
    476.73/709.79 = 474.30/x
  3. Step 3: Cross multiply
    476.73x = 709.79 × 474.30
  4. Step 4: Simplify right side
    476.73x = 336,651.03
  5. Step 5: Solve for x
    x = 336,651.03/476.73
  6. Step 6: Final answer
    x = 706.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.