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Finding the Fourth Proportional to 584.21, 805.37 and 568.85

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Solution

The fourth proportional to 584.21, 805.37 and 568.85 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.21 : 805.37 = 568.85 : x
  2. Step 2: Convert to fraction form
    584.21/805.37 = 568.85/x
  3. Step 3: Cross multiply
    584.21x = 805.37 × 568.85
  4. Step 4: Simplify right side
    584.21x = 458,131.88
  5. Step 5: Solve for x
    x = 458,131.88/584.21
  6. Step 6: Final answer
    x = 784.19

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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.