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Finding the Fourth Proportional to 584.83, 807.05 and 319.27

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Solution

The fourth proportional to 584.83, 807.05 and 319.27 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 807.05 = 319.27 : x
  2. Step 2: Convert to fraction form
    584.83/807.05 = 319.27/x
  3. Step 3: Cross multiply
    584.83x = 807.05 × 319.27
  4. Step 4: Simplify right side
    584.83x = 257,662.82
  5. Step 5: Solve for x
    x = 257,662.82/584.83
  6. Step 6: Final answer
    x = 440.58

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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.