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Finding the Fourth Proportional to 1,238.90, 1,859.16 and 719.96

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Solution

The fourth proportional to 1,238.90, 1,859.16 and 719.96 is: 1,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.90 : 1,859.16 = 719.96 : x
  2. Step 2: Convert to fraction form
    1,238.90/1,859.16 = 719.96/x
  3. Step 3: Cross multiply
    1,238.90x = 1,859.16 × 719.96
  4. Step 4: Simplify right side
    1,238.90x = 1,338,520.83
  5. Step 5: Solve for x
    x = 1,338,520.83/1,238.90
  6. Step 6: Final answer
    x = 1,080.41

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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.