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Finding the Fourth Proportional to 476.31, 713.91 and 293.85

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Solution

The fourth proportional to 476.31, 713.91 and 293.85 is: 440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.31 : 713.91 = 293.85 : x
  2. Step 2: Convert to fraction form
    476.31/713.91 = 293.85/x
  3. Step 3: Cross multiply
    476.31x = 713.91 × 293.85
  4. Step 4: Simplify right side
    476.31x = 209,782.45
  5. Step 5: Solve for x
    x = 209,782.45/476.31
  6. Step 6: Final answer
    x = 440.43

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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.