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Finding the Fourth Proportional to 583.30, 805.44 and 397.39

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Solution

The fourth proportional to 583.30, 805.44 and 397.39 is: 548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.30 : 805.44 = 397.39 : x
  2. Step 2: Convert to fraction form
    583.30/805.44 = 397.39/x
  3. Step 3: Cross multiply
    583.30x = 805.44 × 397.39
  4. Step 4: Simplify right side
    583.30x = 320,073.80
  5. Step 5: Solve for x
    x = 320,073.80/583.30
  6. Step 6: Final answer
    x = 548.73

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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.