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Finding the Fourth Proportional to 1,039.81, 1,559.72 and 270.31

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Solution

The fourth proportional to 1,039.81, 1,559.72 and 270.31 is: 405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.81 : 1,559.72 = 270.31 : x
  2. Step 2: Convert to fraction form
    1,039.81/1,559.72 = 270.31/x
  3. Step 3: Cross multiply
    1,039.81x = 1,559.72 × 270.31
  4. Step 4: Simplify right side
    1,039.81x = 421,607.91
  5. Step 5: Solve for x
    x = 421,607.91/1,039.81
  6. Step 6: Final answer
    x = 405.47

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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.