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Finding the Fourth Proportional to 1,539.89, 2,309.82 and 385.64

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Solution

The fourth proportional to 1,539.89, 2,309.82 and 385.64 is: 578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.89 : 2,309.82 = 385.64 : x
  2. Step 2: Convert to fraction form
    1,539.89/2,309.82 = 385.64/x
  3. Step 3: Cross multiply
    1,539.89x = 2,309.82 × 385.64
  4. Step 4: Simplify right side
    1,539.89x = 890,758.98
  5. Step 5: Solve for x
    x = 890,758.98/1,539.89
  6. Step 6: Final answer
    x = 578.46

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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.