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Finding the Fourth Proportional to 476.73, 713.70 and 407.34

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Solution

The fourth proportional to 476.73, 713.70 and 407.34 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 713.70 = 407.34 : x
  2. Step 2: Convert to fraction form
    476.73/713.70 = 407.34/x
  3. Step 3: Cross multiply
    476.73x = 713.70 × 407.34
  4. Step 4: Simplify right side
    476.73x = 290,718.56
  5. Step 5: Solve for x
    x = 290,718.56/476.73
  6. Step 6: Final answer
    x = 609.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.