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Finding the Fourth Proportional to 583.97, 805.69 and 331.85

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Solution

The fourth proportional to 583.97, 805.69 and 331.85 is: 457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 805.69 = 331.85 : x
  2. Step 2: Convert to fraction form
    583.97/805.69 = 331.85/x
  3. Step 3: Cross multiply
    583.97x = 805.69 × 331.85
  4. Step 4: Simplify right side
    583.97x = 267,368.23
  5. Step 5: Solve for x
    x = 267,368.23/583.97
  6. Step 6: Final answer
    x = 457.85

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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.