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Finding the Fourth Proportional to 583.05, 804.50 and 472.34

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Solution

The fourth proportional to 583.05, 804.50 and 472.34 is: 651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.05 : 804.50 = 472.34 : x
  2. Step 2: Convert to fraction form
    583.05/804.50 = 472.34/x
  3. Step 3: Cross multiply
    583.05x = 804.50 × 472.34
  4. Step 4: Simplify right side
    583.05x = 379,993.51
  5. Step 5: Solve for x
    x = 379,993.51/583.05
  6. Step 6: Final answer
    x = 651.73

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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.