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Finding the Fourth Proportional to 472.41, 651.81 and 314.85

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Solution

The fourth proportional to 472.41, 651.81 and 314.85 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.41 : 651.81 = 314.85 : x
  2. Step 2: Convert to fraction form
    472.41/651.81 = 314.85/x
  3. Step 3: Cross multiply
    472.41x = 651.81 × 314.85
  4. Step 4: Simplify right side
    472.41x = 205,222.38
  5. Step 5: Solve for x
    x = 205,222.38/472.41
  6. Step 6: Final answer
    x = 434.42

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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.