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Finding the Fourth Proportional to 771.22, 1,063.93 and 472.38

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Solution

The fourth proportional to 771.22, 1,063.93 and 472.38 is: 651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,063.93 = 472.38 : x
  2. Step 2: Convert to fraction form
    771.22/1,063.93 = 472.38/x
  3. Step 3: Cross multiply
    771.22x = 1,063.93 × 472.38
  4. Step 4: Simplify right side
    771.22x = 502,574.97
  5. Step 5: Solve for x
    x = 502,574.97/771.22
  6. Step 6: Final answer
    x = 651.66

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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.