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Finding the Fourth Proportional to 1,539.58, 2,309.78 and 444.04

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Solution

The fourth proportional to 1,539.58, 2,309.78 and 444.04 is: 666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.58 : 2,309.78 = 444.04 : x
  2. Step 2: Convert to fraction form
    1,539.58/2,309.78 = 444.04/x
  3. Step 3: Cross multiply
    1,539.58x = 2,309.78 × 444.04
  4. Step 4: Simplify right side
    1,539.58x = 1,025,634.71
  5. Step 5: Solve for x
    x = 1,025,634.71/1,539.58
  6. Step 6: Final answer
    x = 666.18

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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.