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Finding the Fourth Proportional to 859.92, 1,283.24 and 767.63

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Solution

The fourth proportional to 859.92, 1,283.24 and 767.63 is: 1,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,283.24 = 767.63 : x
  2. Step 2: Convert to fraction form
    859.92/1,283.24 = 767.63/x
  3. Step 3: Cross multiply
    859.92x = 1,283.24 × 767.63
  4. Step 4: Simplify right side
    859.92x = 985,051.43
  5. Step 5: Solve for x
    x = 985,051.43/859.92
  6. Step 6: Final answer
    x = 1,145.52

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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.