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Finding the Fourth Proportional to 472.55, 651.69 and 312.97

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Solution

The fourth proportional to 472.55, 651.69 and 312.97 is: 431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.55 : 651.69 = 312.97 : x
  2. Step 2: Convert to fraction form
    472.55/651.69 = 312.97/x
  3. Step 3: Cross multiply
    472.55x = 651.69 × 312.97
  4. Step 4: Simplify right side
    472.55x = 203,960.23
  5. Step 5: Solve for x
    x = 203,960.23/472.55
  6. Step 6: Final answer
    x = 431.61

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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.