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Finding the Fourth Proportional to 472.07, 651.33 and 285.56

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Solution

The fourth proportional to 472.07, 651.33 and 285.56 is: 393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.07 : 651.33 = 285.56 : x
  2. Step 2: Convert to fraction form
    472.07/651.33 = 285.56/x
  3. Step 3: Cross multiply
    472.07x = 651.33 × 285.56
  4. Step 4: Simplify right side
    472.07x = 185,990.54
  5. Step 5: Solve for x
    x = 185,990.54/472.07
  6. Step 6: Final answer
    x = 393.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.