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Finding the Fourth Proportional to 583.31, 804.32 and 396.91

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Solution

The fourth proportional to 583.31, 804.32 and 396.91 is: 547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 804.32 = 396.91 : x
  2. Step 2: Convert to fraction form
    583.31/804.32 = 396.91/x
  3. Step 3: Cross multiply
    583.31x = 804.32 × 396.91
  4. Step 4: Simplify right side
    583.31x = 319,242.65
  5. Step 5: Solve for x
    x = 319,242.65/583.31
  6. Step 6: Final answer
    x = 547.30

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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.