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Finding the Fourth Proportional to 1,295.92, 1,943.88 and 859.96

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Solution

The fourth proportional to 1,295.92, 1,943.88 and 859.96 is: 1,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.92 : 1,943.88 = 859.96 : x
  2. Step 2: Convert to fraction form
    1,295.92/1,943.88 = 859.96/x
  3. Step 3: Cross multiply
    1,295.92x = 1,943.88 × 859.96
  4. Step 4: Simplify right side
    1,295.92x = 1,671,659.04
  5. Step 5: Solve for x
    x = 1,671,659.04/1,295.92
  6. Step 6: Final answer
    x = 1,289.94

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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.