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Finding the Fourth Proportional to 474.52, 710.63 and 327.88

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Solution

The fourth proportional to 474.52, 710.63 and 327.88 is: 491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.52 : 710.63 = 327.88 : x
  2. Step 2: Convert to fraction form
    474.52/710.63 = 327.88/x
  3. Step 3: Cross multiply
    474.52x = 710.63 × 327.88
  4. Step 4: Simplify right side
    474.52x = 233,004.98
  5. Step 5: Solve for x
    x = 233,004.98/474.52
  6. Step 6: Final answer
    x = 491.03

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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.