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Finding the Fourth Proportional to 859.87, 1,283.31 and 776.83

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Solution

The fourth proportional to 859.87, 1,283.31 and 776.83 is: 1,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.87 : 1,283.31 = 776.83 : x
  2. Step 2: Convert to fraction form
    859.87/1,283.31 = 776.83/x
  3. Step 3: Cross multiply
    859.87x = 1,283.31 × 776.83
  4. Step 4: Simplify right side
    859.87x = 996,911.88
  5. Step 5: Solve for x
    x = 996,911.88/859.87
  6. Step 6: Final answer
    x = 1,159.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.