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Finding the Fourth Proportional to 474.41, 712.16 and 318.35

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Solution

The fourth proportional to 474.41, 712.16 and 318.35 is: 477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.41 : 712.16 = 318.35 : x
  2. Step 2: Convert to fraction form
    474.41/712.16 = 318.35/x
  3. Step 3: Cross multiply
    474.41x = 712.16 × 318.35
  4. Step 4: Simplify right side
    474.41x = 226,710.98
  5. Step 5: Solve for x
    x = 226,710.98/474.41
  6. Step 6: Final answer
    x = 477.88

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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.