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Finding the Fourth Proportional to 583.41, 805.15 and 321.45

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Solution

The fourth proportional to 583.41, 805.15 and 321.45 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 805.15 = 321.45 : x
  2. Step 2: Convert to fraction form
    583.41/805.15 = 321.45/x
  3. Step 3: Cross multiply
    583.41x = 805.15 × 321.45
  4. Step 4: Simplify right side
    583.41x = 258,815.47
  5. Step 5: Solve for x
    x = 258,815.47/583.41
  6. Step 6: Final answer
    x = 443.63

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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.