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Finding the Fourth Proportional to 584.35, 875.09 and 378.29

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Solution

The fourth proportional to 584.35, 875.09 and 378.29 is: 566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.35 : 875.09 = 378.29 : x
  2. Step 2: Convert to fraction form
    584.35/875.09 = 378.29/x
  3. Step 3: Cross multiply
    584.35x = 875.09 × 378.29
  4. Step 4: Simplify right side
    584.35x = 331,035.90
  5. Step 5: Solve for x
    x = 331,035.90/584.35
  6. Step 6: Final answer
    x = 566.51

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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.