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Finding the Fourth Proportional to 472.40, 651.78 and 306.71

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Solution

The fourth proportional to 472.40, 651.78 and 306.71 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 651.78 = 306.71 : x
  2. Step 2: Convert to fraction form
    472.40/651.78 = 306.71/x
  3. Step 3: Cross multiply
    472.40x = 651.78 × 306.71
  4. Step 4: Simplify right side
    472.40x = 199,907.44
  5. Step 5: Solve for x
    x = 199,907.44/472.40
  6. Step 6: Final answer
    x = 423.17

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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.