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Finding the Fourth Proportional to 472.23, 651.63 and 374.22

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Solution

The fourth proportional to 472.23, 651.63 and 374.22 is: 516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.23 : 651.63 = 374.22 : x
  2. Step 2: Convert to fraction form
    472.23/651.63 = 374.22/x
  3. Step 3: Cross multiply
    472.23x = 651.63 × 374.22
  4. Step 4: Simplify right side
    472.23x = 243,852.98
  5. Step 5: Solve for x
    x = 243,852.98/472.23
  6. Step 6: Final answer
    x = 516.39

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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.