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Finding the Fourth Proportional to 584.12, 805.80 and 359.96

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Solution

The fourth proportional to 584.12, 805.80 and 359.96 is: 496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 805.80 = 359.96 : x
  2. Step 2: Convert to fraction form
    584.12/805.80 = 359.96/x
  3. Step 3: Cross multiply
    584.12x = 805.80 × 359.96
  4. Step 4: Simplify right side
    584.12x = 290,055.77
  5. Step 5: Solve for x
    x = 290,055.77/584.12
  6. Step 6: Final answer
    x = 496.57

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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.