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Finding the Fourth Proportional to 1,539.48, 2,309.35 and 443.87

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Solution

The fourth proportional to 1,539.48, 2,309.35 and 443.87 is: 665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.48 : 2,309.35 = 443.87 : x
  2. Step 2: Convert to fraction form
    1,539.48/2,309.35 = 443.87/x
  3. Step 3: Cross multiply
    1,539.48x = 2,309.35 × 443.87
  4. Step 4: Simplify right side
    1,539.48x = 1,025,051.18
  5. Step 5: Solve for x
    x = 1,025,051.18/1,539.48
  6. Step 6: Final answer
    x = 665.84

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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.