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Finding the Fourth Proportional to 472.52, 711.28 and 336.50

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Solution

The fourth proportional to 472.52, 711.28 and 336.50 is: 506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.52 : 711.28 = 336.50 : x
  2. Step 2: Convert to fraction form
    472.52/711.28 = 336.50/x
  3. Step 3: Cross multiply
    472.52x = 711.28 × 336.50
  4. Step 4: Simplify right side
    472.52x = 239,349.25
  5. Step 5: Solve for x
    x = 239,349.25/472.52
  6. Step 6: Final answer
    x = 506.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.