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Finding the Fourth Proportional to 583.44, 804.51 and 396.56

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Solution

The fourth proportional to 583.44, 804.51 and 396.56 is: 546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.44 : 804.51 = 396.56 : x
  2. Step 2: Convert to fraction form
    583.44/804.51 = 396.56/x
  3. Step 3: Cross multiply
    583.44x = 804.51 × 396.56
  4. Step 4: Simplify right side
    583.44x = 319,038.50
  5. Step 5: Solve for x
    x = 319,038.50/583.44
  6. Step 6: Final answer
    x = 546.83

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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.