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Finding the Fourth Proportional to 1,418.99, 1,957.92 and 859.50

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Solution

The fourth proportional to 1,418.99, 1,957.92 and 859.50 is: 1,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.99 : 1,957.92 = 859.50 : x
  2. Step 2: Convert to fraction form
    1,418.99/1,957.92 = 859.50/x
  3. Step 3: Cross multiply
    1,418.99x = 1,957.92 × 859.50
  4. Step 4: Simplify right side
    1,418.99x = 1,682,823.05
  5. Step 5: Solve for x
    x = 1,682,823.05/1,418.99
  6. Step 6: Final answer
    x = 1,185.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.