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Finding the Fourth Proportional to 1,539.72, 2,309.66 and 385.48

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Solution

The fourth proportional to 1,539.72, 2,309.66 and 385.48 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.72 : 2,309.66 = 385.48 : x
  2. Step 2: Convert to fraction form
    1,539.72/2,309.66 = 385.48/x
  3. Step 3: Cross multiply
    1,539.72x = 2,309.66 × 385.48
  4. Step 4: Simplify right side
    1,539.72x = 890,327.74
  5. Step 5: Solve for x
    x = 890,327.74/1,539.72
  6. Step 6: Final answer
    x = 578.24

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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.