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Finding the Fourth Proportional to 584.11, 875.48 and 309.83

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Solution

The fourth proportional to 584.11, 875.48 and 309.83 is: 464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.11 : 875.48 = 309.83 : x
  2. Step 2: Convert to fraction form
    584.11/875.48 = 309.83/x
  3. Step 3: Cross multiply
    584.11x = 875.48 × 309.83
  4. Step 4: Simplify right side
    584.11x = 271,246.66
  5. Step 5: Solve for x
    x = 271,246.66/584.11
  6. Step 6: Final answer
    x = 464.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.