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Finding the Fourth Proportional to 474.27, 711.54 and 312

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Solution

The fourth proportional to 474.27, 711.54 and 312 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.27 : 711.54 = 312 : x
  2. Step 2: Convert to fraction form
    474.27/711.54 = 312/x
  3. Step 3: Cross multiply
    474.27x = 711.54 × 312
  4. Step 4: Simplify right side
    474.27x = 222,000.48
  5. Step 5: Solve for x
    x = 222,000.48/474.27
  6. Step 6: Final answer
    x = 468.09

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